DIMENSION OF POLAR SETS FOR BROWNIAN SHEET
Let W={W(t);t ∈ R^N+} be the d-dlmensional N-parameter Brownian Sheet. Sufficient conditions for a compact set F 包含于 R^d \ {0} to be a polar set for W are proved. It is also proved that if 2N ≤ d, then for any compact set E 包含于 R^N>, inf(dimF : F ∈ B(R^d), P{W(E) ∩ F ≠ Φ }> 0} = d - 2DimE, and...
Saved in:
| Published in | Acta mathematica scientia Vol. 23; no. 4; pp. 549 - 560 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.10.2003
Department of Applied Mathematics, Xidian University, Xi'an, 710071, China Department of Mathematics, Yangtze University, Jingzhou, 434104, China%Department of Applied Mathematics, Xidian University, Xi'an, 710071, China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0252-9602 1572-9087 |
| DOI | 10.1016/S0252-9602(17)30499-X |
Cover
| Abstract | Let W={W(t);t ∈ R^N+} be the d-dlmensional N-parameter Brownian Sheet. Sufficient conditions for a compact set F 包含于 R^d \ {0} to be a polar set for W are proved. It is also proved that if 2N ≤ d, then for any compact set E 包含于 R^N>, inf(dimF : F ∈ B(R^d), P{W(E) ∩ F ≠ Φ }> 0} = d - 2DimE, and if 2N > d, then for any compact set F 包含于 R^d\{0}, inf{dimE : E ∈ B(R^N>),p{W(E) ∩ F ≠Φ} > 0}= d/2 - DimF\2， where B(R^d) and B(R^N>) denote the Borel σ-algebra in R^d and R^N> respectively, and dim and Dim are Hausdorff dimension and Packing dimension respectively. |
|---|---|
| AbstractList | O1; Let W~{W(t);t ∈ RN+} be the d-dimensional N-parameter Brownian Sheet.Sufficient conditions for a compact set F Rd \ {0} to be a polar set for W are proved.It is also proved that if 2N ≤ d, then for any compact set E R＞N,inf{dimF: F ∈ B(Rd), P{W(E) ∩ F ≠φ} ＞ 0} = d - 2DimE,and if 2N ＞ d, then for any compact set F Rd \ {0},inf{dimE: E ∈ B(R＞N),P{W(E) ∩ F ≠φ} ＞ 0} = d/2 DimF/22 2 ,where B(Rd) and B(RN＞) denote the Borel σ-algebra in Rd and R＞N respectively, and dimand Dim are Hausdorff dimension and Packing dimension respectively. Let W={W(t);t ∈ R^N+} be the d-dlmensional N-parameter Brownian Sheet. Sufficient conditions for a compact set F 包含于 R^d \ {0} to be a polar set for W are proved. It is also proved that if 2N ≤ d, then for any compact set E 包含于 R^N>, inf(dimF : F ∈ B(R^d), P{W(E) ∩ F ≠ Φ }> 0} = d - 2DimE, and if 2N > d, then for any compact set F 包含于 R^d\{0}, inf{dimE : E ∈ B(R^N>),p{W(E) ∩ F ≠Φ} > 0}= d/2 - DimF\2， where B(R^d) and B(R^N>) denote the Borel σ-algebra in R^d and R^N> respectively, and dim and Dim are Hausdorff dimension and Packing dimension respectively. Let W≙{W(t);t∈R+N} be the d-dimensional N-parameter Brownian Sheet. Sufficient conditions for a compact set F⊂Rd\{0} to be a polar set for W are proved. It is also proved that if 2N ≤ d, then for any compact set E⊂R>N, inf {dim F:F∈B(Rd),P{W(E)∩F≠ϕ}>0}=d−2Dim E,and if 2N > d, then for any compact set F⊂Rd\{0}, inf {dim E:E∈B(R>N),P{W(E)∩F≠ϕ}>0}=d2−DimF2where B(Rd) and B(R>N) denote the Borel σ-algebra in Rd and R>N respectively, and dim and Dim are Hausdorff dimension and Packing dimension respectively. |
| Author | 陈振龙 刘三阳 |
| AuthorAffiliation | DepartmentofMathematics,YangtzeUniversity,Jingzhou434104,China DepartmentofAppliedMathematics,XidianUniversity,Xi'an710071,China |
| AuthorAffiliation_xml | – name: Department of Applied Mathematics, Xidian University, Xi'an, 710071, China; Department of Mathematics, Yangtze University, Jingzhou, 434104, China%Department of Applied Mathematics, Xidian University, Xi'an, 710071, China |
| Author_xml | – sequence: 1 fullname: 陈振龙 刘三阳 |
| BookMark | eNqFkF1LwzAYhYMoOD9-glDvnFB9kzRtghcytXODuco6cXchTVPNnK221c1_b_eBF97s6oWX85zDOQdoNy9yg9AJhgsM2L-MgTDiCh_IGQ7aFDwh3MkOamEWNG_gwS5q_Un20UFVTaHhiO-10Pld_yEcxv1o6ERd5zEadEZOHI5jpxuNnJtR9Dzsd4ZO3AvD8RHay9SsMsebe4ieuuH4tucOovv-bWfgauqL2mWccaOooEQRQUBw3wNPG-KJ1PhA0wCMFiRhPAORsMzHnubGaEp4qjhJND1E7bXvXOWZyl_ktPgq8yZRVov5bJFIQwCaloBZo71aa3VZVFVpMqltrWpb5HWp7ExikMuJ5GoiuewvcSBXE8lJQ7N_9Edp31X5s5W7XnOmmeHbmlJW2ppcm9SWRtcyLexWh9NN8muRv3zapmWi9FtmZ0ZyBgHFAf0F2--F3w |
| CitedBy_id | crossref_primary_10_1016_S0252_9602_11_60290_7 |
| Cites_doi | 10.1007/BF00535741 10.1007/BF02214076 10.1090/S0002-9947-96-01750-3 10.1090/S0002-9947-1985-0776398-8 10.1090/S0002-9947-96-01712-6 10.1080/17442509908834189 10.1017/S0305004100062873 10.1017/S030500410007506X 10.3792/pia/1195572706 10.1112/S002557930000944X |
| ClassificationCodes | O1 |
| ContentType | Journal Article |
| Copyright | 2003 Wuhan Institute of Physics and Mathematics Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| Copyright_xml | – notice: 2003 Wuhan Institute of Physics and Mathematics – notice: Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| DBID | 2RA 92L CQIGP ~WA AAYXX CITATION 2B. 4A8 92I 93N PSX TCJ |
| DOI | 10.1016/S0252-9602(17)30499-X |
| DatabaseName | 维普_期刊 中文科技期刊数据库-CALIS站点 维普中文期刊数据库 中文科技期刊数据库- 镜像站点 CrossRef Wanfang Data Journals - Hong Kong WANFANG Data Centre Wanfang Data Journals 万方数据期刊 - 香港版 China Online Journals (COJ) China Online Journals (COJ) |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Mathematics Physics |
| EISSN | 1572-9087 |
| EndPage | 560 |
| ExternalDocumentID | sxwlxb_e200304015 10_1016_S0252_9602_17_30499_X S025296021730499X 8507317 |
| GrantInformation_xml | – fundername: 湖北省教育厅科技创新项目; 湖北省教育厅重大科技攻关项目 funderid: 湖北省教育厅科技创新项目; (2003A005) |
| GroupedDBID | --K --M -01 -0A -EM -SA -S~ .~1 0R~ 1B1 1~. 1~5 23M 2B. 2C. 2RA 4.4 406 457 4G. 5GY 5VR 5VS 5XA 5XB 5XL 7-5 71M 8P~ 92E 92I 92L 92M 92Q 93N 9D9 9DA AACTN AAEDT AAFGU AAHNG AAIKJ AAKOC AALMO AALRI AAOAW AAPBV AAQFI AAUYE AAXUO ABAOU ABECU ABFGW ABFNM ABFTV ABKAS ABKCH ABMAC ABMQK ABPIF ABTEG ABTMW ABXDB ABXPI ABYKQ ACAZW ACBMV ACBRV ACBYP ACDAQ ACGFS ACHSB ACIGE ACIPQ ACMLO ACRLP ACTTH ACVWB ACWMK ADALY ADBBV ADEZE ADKNI ADMDM ADTIX ADURQ ADYFF AEBSH AEFTE AEJRE AEKER AENEX AESTI AEVTX AFKWA AFQWF AFUIB AGDGC AGGBP AGHFR AGJBK AGMZJ AGUBO AGYEJ AIAKS AIEXJ AIGVJ AIKHN AILAN AIMYW AITGF AITUG AJBFU AJDOV AJOXV AJZVZ AKQUC ALMA_UNASSIGNED_HOLDINGS AMFUW AMKLP AMRAJ AMYLF ARUGR AXJTR AXYYD BGNMA BKOJK BLXMC CAJEA CAJUS CCEZO CCVFK CDYEO CHBEP CIAHI CQIGP CS3 CSCUP CW9 EBLON EBS EFJIC EJD EO9 EP2 EP3 FA0 FDB FEDTE FIRID FNLPD FNPLU FYGXN GBLVA GJIRD HVGLF HZ~ IPNFZ J1W JUIAU JZLTJ KOM KOV LLZTM M41 M4Y MHUIS MO0 N9A NQJWS NU0 O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q-- Q-0 Q38 R-A REI RIG ROL RSV RT1 S.. SDC SDF SDG SDH SES SNE SOJ SPC SRMVM SSLCW SSW SSZ T5K T8Q TCJ TGP TSG U1F U1G U5A U5K UOJIU UTJUX VFIZW ZMTXR ~G- ~L9 ~WA AAEDW AATNV AAYFA ABTKH ACOKC ACZOJ ADMUD ADOXG ADTPH AESKC AFNRJ AGQEE AMXSW DPUIP EFLBG FIGPU IKXTQ IWAJR NPVJJ PT4 SNPRN SOHCF VEKWB AACDK AAJBT AASML AATTM AAXKI AAYWO AAYXX ABAKF ABBRH ABDBE ABFSG ABJNI ABRTQ ABWVN ACAOD ACDTI ACLOT ACPIV ACRPL ACSTC ACVFH ADCNI ADNMO AEFQL AEIPS AEMSY AEUPX AEZWR AFBBN AFDZB AFHIU AFOHR AFPUW AHPBZ AHWEU AIGII AIGIU AIIUN AIXLP AKBMS AKRWK AKYEP ANKPU ATHPR AYFIA CITATION EFKBS HG6 SJYHP ~HD 4A8 AFXIZ AGCQF AGRNS PSX SSH |
| ID | FETCH-LOGICAL-c369t-5858ea3932a2920986404ce249de603d70ec92b58f09b5f614c8eec328da82bc3 |
| IEDL.DBID | AIKHN |
| ISSN | 0252-9602 |
| IngestDate | Thu May 29 04:00:08 EDT 2025 Wed Oct 01 03:09:13 EDT 2025 Thu Apr 24 22:58:16 EDT 2025 Fri Feb 23 02:25:02 EST 2024 Fri Nov 25 07:28:43 EST 2022 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 4 |
| Keywords | polar set Hausdorff dimension 60G10 packing dimension Brownian Sheet Hansdorff dimension |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c369t-5858ea3932a2920986404ce249de603d70ec92b58f09b5f614c8eec328da82bc3 |
| Notes | O211.6 42-1227/O |
| PageCount | 12 |
| ParticipantIDs | wanfang_journals_sxwlxb_e200304015 crossref_citationtrail_10_1016_S0252_9602_17_30499_X crossref_primary_10_1016_S0252_9602_17_30499_X elsevier_sciencedirect_doi_10_1016_S0252_9602_17_30499_X chongqing_backfile_8507317 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2003-10-01 |
| PublicationDateYYYYMMDD | 2003-10-01 |
| PublicationDate_xml | – month: 10 year: 2003 text: 2003-10-01 day: 01 |
| PublicationDecade | 2000 |
| PublicationTitle | Acta mathematica scientia |
| PublicationTitleAlternate | Acta Mathematica Scientia |
| PublicationTitle_FL | ACTA MATHEMATICA SCIENTIA |
| PublicationYear | 2003 |
| Publisher | Elsevier Ltd Department of Applied Mathematics, Xidian University, Xi'an, 710071, China Department of Mathematics, Yangtze University, Jingzhou, 434104, China%Department of Applied Mathematics, Xidian University, Xi'an, 710071, China |
| Publisher_xml | – name: Elsevier Ltd – name: Department of Applied Mathematics, Xidian University, Xi'an, 710071, China – name: Department of Mathematics, Yangtze University, Jingzhou, 434104, China%Department of Applied Mathematics, Xidian University, Xi'an, 710071, China |
| References | Adler (bib15) 1981 Bishop, Peres (bib21) 1996; 348 Kakutani (bib3) 1944; 20 Taylor, Watson (bib10) 1985; 97 Kahane (bib5) 1983; 38 Rogers (bib11) 1970 Testard (bib6) 1985; 300 Khoshnevisan (bib9) 1997; 1655 Taylor, Tricot (bib13) 1985; 288 Chen (bib14) 1997; 17 Xiao (bib18) 1996; 120 Ehm (bib16) 1981; 56 Hawkes (bib4) 1978; 25 Testard (bib12) 1986; 303 Xiao (bib19) 1996; 348 Falconer (bib20) 1990 Kahane (bib2) 1985 Testard (bib7) 1986; 3 Port, Stone (bib1) 1978 Talagrand, Xiao (bib17) 1996; 9 Xiao (bib8) 1999; 66 Kahane (10.1016/S0252-9602(17)30499-X_bib2) 1985 Bishop (10.1016/S0252-9602(17)30499-X_bib21) 1996; 348 Rogers (10.1016/S0252-9602(17)30499-X_bib11) 1970 Falconer (10.1016/S0252-9602(17)30499-X_bib20) 1990 Taylor (10.1016/S0252-9602(17)30499-X_bib10) 1985; 97 Adler (10.1016/S0252-9602(17)30499-X_bib15) 1981 Testard (10.1016/S0252-9602(17)30499-X_bib12) 1986; 303 Kakutani (10.1016/S0252-9602(17)30499-X_bib3) 1944; 20 Chen (10.1016/S0252-9602(17)30499-X_bib14) 1997; 17 Testard (10.1016/S0252-9602(17)30499-X_bib6) 1985; 300 Kahane (10.1016/S0252-9602(17)30499-X_bib5) 1983; 38 Port (10.1016/S0252-9602(17)30499-X_bib1) 1978 Taylor (10.1016/S0252-9602(17)30499-X_bib13) 1985; 288 Talagrand (10.1016/S0252-9602(17)30499-X_bib17) 1996; 9 Xiao (10.1016/S0252-9602(17)30499-X_bib8) 1999; 66 Xiao (10.1016/S0252-9602(17)30499-X_bib19) 1996; 348 Khoshnevisan (10.1016/S0252-9602(17)30499-X_bib9) 1997; 1655 Ehm (10.1016/S0252-9602(17)30499-X_bib16) 1981; 56 Hawkes (10.1016/S0252-9602(17)30499-X_bib4) 1978; 25 Testard (10.1016/S0252-9602(17)30499-X_bib7) 1986; 3 Xiao (10.1016/S0252-9602(17)30499-X_bib18) 1996; 120 |
| References_xml | – volume: 1655 start-page: 190 year: 1997 end-page: 197 ident: bib9 article-title: Some polar sets for the Brownian sheet publication-title: L N M – volume: 303 start-page: 579 year: 1986 end-page: 581 ident: bib12 article-title: Dimension asymétrique et ensembles doublement non polairs publication-title: C R Acad – year: 1970 ident: bib11 article-title: Hausdorff Measures – year: 1985 ident: bib2 article-title: Some Random Series of Functions – volume: 97 start-page: 325 year: 1985 end-page: 344 ident: bib10 article-title: A Hausdorff measure classification of polar sets for the heat equation publication-title: Math Proc Camb Philos Soc – volume: 20 start-page: 706 year: 1944 end-page: 714 ident: bib3 article-title: Two-dimensional Brownian motion and harmonic functions publication-title: Proc Imperial Acad – year: 1990 ident: bib20 article-title: Fractal Geometry-Mathematical Foundations and Applications – volume: 3 start-page: 1 year: 1986 end-page: 86 ident: bib7 article-title: Polarité, Points multiples et géométrie de certain processus gaussiens. Publ du Laboratoire de Statistique et Probabilités de publication-title: U P S, Toulouse – volume: 9 start-page: 579 year: 1996 end-page: 593 ident: bib17 article-title: Fracional Brownian motion and Packing dimension publication-title: J Theort Probab – volume: 38 start-page: 74 year: 1983 end-page: 105 ident: bib5 article-title: Points multiples des processus de lévy symétriques restreints à un ensemble de valurs du temps publication-title: Sém Anal Harm – volume: 348 start-page: 3193 year: 1996 end-page: 3213 ident: bib19 article-title: Packing measure of the sample path of fractional Brownian motion publication-title: Tran Amer Math Soc – volume: 25 start-page: 202 year: 1978 end-page: 212 ident: bib4 article-title: Measures of Hausdorff type and stable processes publication-title: Mathematika – volume: 56 start-page: 195 year: 1981 end-page: 228 ident: bib16 article-title: Sample function properties of the multi-parameter stable process publication-title: Z Wahrsch – year: 1978 ident: bib1 article-title: Brownian Motion and Classical Potential Theory – volume: 348 start-page: 44334445 year: 1996 ident: bib21 article-title: Packing dimension and Cartesian products publication-title: Trans Amer Math Soc – volume: 120 start-page: 535 year: 1996 end-page: 546 ident: bib18 article-title: Packing dimension, Hausdorff dimension and Cartesian product sets publication-title: Math Proc Camb Phil Soc – volume: 300 start-page: 497 year: 1985 end-page: 500 ident: bib6 article-title: Quelques propriétés géométriques de certains processus gaussiens publication-title: C R Acad – volume: 17 start-page: 373 year: 1997 end-page: 378 ident: bib14 article-title: The properties of the polar set for the Brownian Sheet publication-title: J Math (PRC) – volume: 66 start-page: 121 year: 1999 end-page: 151 ident: bib8 article-title: Hitting probabilities and polar sets for Fractional Brownian motion publication-title: Stochastics and Stochastics Reports – volume: 288 start-page: 679 year: 1985 end-page: 699 ident: bib13 article-title: Packing measure and its evaluation for a Brownian path publication-title: Tran Amer Math Soc – start-page: 245 year: 1981 end-page: 247 ident: bib15 article-title: The Geomentry of Random Fields – volume: 56 start-page: 195 issue: 2 year: 1981 ident: 10.1016/S0252-9602(17)30499-X_bib16 article-title: Sample function properties of the multi-parameter stable process publication-title: Z Wahrsch doi: 10.1007/BF00535741 – volume: 9 start-page: 579 year: 1996 ident: 10.1016/S0252-9602(17)30499-X_bib17 article-title: Fracional Brownian motion and Packing dimension publication-title: J Theort Probab doi: 10.1007/BF02214076 – volume: 348 start-page: 44334445 year: 1996 ident: 10.1016/S0252-9602(17)30499-X_bib21 article-title: Packing dimension and Cartesian products publication-title: Trans Amer Math Soc doi: 10.1090/S0002-9947-96-01750-3 – volume: 3 start-page: 1 year: 1986 ident: 10.1016/S0252-9602(17)30499-X_bib7 article-title: Polarité, Points multiples et géométrie de certain processus gaussiens. Publ du Laboratoire de Statistique et Probabilités de l' publication-title: U P S, Toulouse – volume: 288 start-page: 679 year: 1985 ident: 10.1016/S0252-9602(17)30499-X_bib13 article-title: Packing measure and its evaluation for a Brownian path publication-title: Tran Amer Math Soc doi: 10.1090/S0002-9947-1985-0776398-8 – year: 1970 ident: 10.1016/S0252-9602(17)30499-X_bib11 – volume: 348 start-page: 3193 year: 1996 ident: 10.1016/S0252-9602(17)30499-X_bib19 article-title: Packing measure of the sample path of fractional Brownian motion publication-title: Tran Amer Math Soc doi: 10.1090/S0002-9947-96-01712-6 – year: 1985 ident: 10.1016/S0252-9602(17)30499-X_bib2 – volume: 66 start-page: 121 year: 1999 ident: 10.1016/S0252-9602(17)30499-X_bib8 article-title: Hitting probabilities and polar sets for Fractional Brownian motion publication-title: Stochastics and Stochastics Reports doi: 10.1080/17442509908834189 – volume: 303 start-page: 579 issue: 1 year: 1986 ident: 10.1016/S0252-9602(17)30499-X_bib12 article-title: Dimension asymétrique et ensembles doublement non polairs publication-title: C R Acad – year: 1990 ident: 10.1016/S0252-9602(17)30499-X_bib20 – volume: 1655 start-page: 190 issue: 31 year: 1997 ident: 10.1016/S0252-9602(17)30499-X_bib9 article-title: Some polar sets for the Brownian sheet publication-title: L N M – volume: 97 start-page: 325 year: 1985 ident: 10.1016/S0252-9602(17)30499-X_bib10 article-title: A Hausdorff measure classification of polar sets for the heat equation publication-title: Math Proc Camb Philos Soc doi: 10.1017/S0305004100062873 – volume: 120 start-page: 535 year: 1996 ident: 10.1016/S0252-9602(17)30499-X_bib18 article-title: Packing dimension, Hausdorff dimension and Cartesian product sets publication-title: Math Proc Camb Phil Soc doi: 10.1017/S030500410007506X – volume: 300 start-page: 497 issue: 1 year: 1985 ident: 10.1016/S0252-9602(17)30499-X_bib6 article-title: Quelques propriétés géométriques de certains processus gaussiens publication-title: C R Acad – volume: 20 start-page: 706 year: 1944 ident: 10.1016/S0252-9602(17)30499-X_bib3 article-title: Two-dimensional Brownian motion and harmonic functions publication-title: Proc Imperial Acad doi: 10.3792/pia/1195572706 – volume: 25 start-page: 202 year: 1978 ident: 10.1016/S0252-9602(17)30499-X_bib4 article-title: Measures of Hausdorff type and stable processes publication-title: Mathematika doi: 10.1112/S002557930000944X – volume: 17 start-page: 373 year: 1997 ident: 10.1016/S0252-9602(17)30499-X_bib14 article-title: The properties of the polar set for the Brownian Sheet publication-title: J Math (PRC) – year: 1978 ident: 10.1016/S0252-9602(17)30499-X_bib1 – volume: 38 start-page: 74 issue: 2 year: 1983 ident: 10.1016/S0252-9602(17)30499-X_bib5 article-title: Points multiples des processus de lévy symétriques restreints à un ensemble de valurs du temps publication-title: Sém Anal Harm – start-page: 245 year: 1981 ident: 10.1016/S0252-9602(17)30499-X_bib15 |
| SSID | ssj0016264 |
| Score | 1.5770948 |
| Snippet | Let W={W(t);t ∈ R^N+} be the d-dlmensional N-parameter Brownian Sheet. Sufficient conditions for a compact set F 包含于 R^d \ {0} to be a polar set for W are... Let W≙{W(t);t∈R+N} be the d-dimensional N-parameter Brownian Sheet. Sufficient conditions for a compact set F⊂Rd\{0} to be a polar set for W are proved. It is... O1; Let W~{W(t);t ∈ RN+} be the d-dimensional N-parameter Brownian Sheet.Sufficient conditions for a compact set F Rd \ {0} to be a polar set for W are... |
| SourceID | wanfang crossref elsevier chongqing |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 549 |
| SubjectTerms | 60G10 Brownian Sheet Brown片 Hausdorff dimension Hausdorff维数 packing dimension polar set 充分条件 填充维数 随机过程 |
| Title | DIMENSION OF POLAR SETS FOR BROWNIAN SHEET |
| URI | http://lib.cqvip.com/qk/86464X/20034/8507317.html https://dx.doi.org/10.1016/S0252-9602(17)30499-X https://d.wanfangdata.com.cn/periodical/sxwlxb-e200304015 |
| Volume | 23 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Complete Freedom Collection customDbUrl: eissn: 1572-9087 dateEnd: 20181130 omitProxy: true ssIdentifier: ssj0016264 issn: 0252-9602 databaseCode: ACRLP dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals [SCFCJ] customDbUrl: eissn: 1572-9087 dateEnd: 20181130 omitProxy: true ssIdentifier: ssj0016264 issn: 0252-9602 databaseCode: AIKHN dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVLSH databaseName: Elsevier Journals customDbUrl: mediaType: online eissn: 1572-9087 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0016264 issn: 0252-9602 databaseCode: AKRWK dateStart: 19950101 isFulltext: true providerName: Library Specific Holdings |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3dS8MwED_8QNAHv8X5RRAfVKirbdemj1M7Nuc62Sb2LaRpoqLUj030z_fSZZs-iOBTaemFcpfc73fN5Q7gwKcVRRXnlm5IaXkKY1YuUt1DA8MJRVMkpfp_Ryv26zfeZVJJpuB8dBZGp1Ua3z_06YW3Nk_KRpvll4eHchfR2kH-jZxabxWFyTTMOoj2GIHNVhvNejzeTEDOXlSRwvctLTA5yDMcpHh4eBocFeNYiS6zcP-c370iePwGV3MfPFc8v_sGRrVlWDQsklSHH7oCUzJfhSXDKIlZr_1VWGiNq7Li3VyR7in6a3B80WhFsfajpF0j1-2raod0o16XYExIzjrt27hRjUm3HkW9dbipRb3zumW6JljC9cOBhfyfSu4iL-O6E5Uuv257QmKYlUnfdrPAliJ00gpVdphWFMKzoFIK16EZp04q3A2YyZ9zuQnEVjTgtieF7wrP4Wg6qoJModVDIbIgLcHWWFGIuuJR15JiFCkmspISeCPNMWHqjeu2F09skliGymda-ew0YIXyWVKCk7HYy7Dgxl8CdGQW9mPmMASFv0T3jRmZWbl91v_8ePpMmXSKTWMkS1v_H38b5ie5fzswM3h7l7vIYQbpnpmj-trs3Da_AEp-5K4 |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT-MwEB6xRWjhACwPUVh2rRWHXaTQkKdzLJAqhTZFtIjcLMexAYHCo0Xw83ecui0cVkh7jJWxohl7vm_i8QzAXkB9RRXnlm5IaXkKY1Yuct1DA8MJRXMkpfp_RzcNkkvvNPOzOTie3IXRaZXG9499euWtzUjDaLPxeHvb6CNaO8i_kVPro6Io-wLzno8-uQbzzfZZkk4PE5CzV1Wk8H1LC8wu8ownqQZ_H4Z_qnmsTJdZuHkor58QPP4FVwuvvFS8vH4HRq1VWDYskjTHH_oN5mS5BiuGURKzX4drsNSdVmXFp4Uq3VMM12H_pN2NU-1HSa9Fznud5gXpx4M-wZiQHF30rtJ2MyX9JI4HG3DZigfHiWW6JljCDaKRhfyfSu4iL-O6E5Uuv257QmKYVcjAdovQliJycp8qO8p9hfAsqJTCdWjBqZMLdxNq5UMpt4DYiobc9qQIXOE5HE1HVVgotHokRBHmddieKgpRV9zpWlKMIsVEVlIHb6I5Jky9cd324p7NEstQ-Uwrnx2GrFI-y-pwMBV7HBfc-EyATszCPqwchqDwmegvY0Zmdu6QDd9e799yJp3q0BjJ0vb_z_8TviaDbod12unZDizO8gC_Q230_CJ3kc-M8h9mvf4F4Vzl7w |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=DIMENSION+OF+POLAR+SETS+FOR+BROWNIAN+SHEET&rft.jtitle=%E6%95%B0%E5%AD%A6%E7%89%A9%E7%90%86%E5%AD%A6%E6%8A%A5%28%E8%8B%B1%E6%96%87%E7%89%88%29&rft.date=2003-10-01&rft.pub=Department+of+Applied+Mathematics%2C+Xidian+University%2C+Xi%27an%2C+710071%2C+China&rft.issn=0252-9602&rft.volume=23&rft.issue=4&rft.spage=549&rft.epage=560&rft_id=info:doi/10.1016%2FS0252-9602%2817%2930499-X&rft.externalDocID=sxwlxb_e200304015 |
| thumbnail_s | http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fimage.cqvip.com%2Fvip1000%2Fqk%2F86464X%2F86464X.jpg http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fwww.wanfangdata.com.cn%2Fimages%2FPeriodicalImages%2Fsxwlxb-e%2Fsxwlxb-e.jpg |