ENDPOINT ESTIMATES FOR THE COMMUTATOR OF PSEUDO-DIFFERENTIAL OPERATORS
It is well known that the commutator Tb of the Calderbn-Zygmund singular integral operator is bounded on LP（Rn） for 1 〈 p 〈 ＋∞ if and only if b E BMO [1]. On the other hand, the commutator Tb is bounded from H1（Rn） into L1（Rn） only if the function b is a constant [2]. In this article, we will discus...
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| Published in | Acta mathematica scientia Vol. 34; no. 2; pp. 387 - 393 |
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| Format | Journal Article |
| Language | English |
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01.03.2014
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| ISSN | 0252-9602 1572-9087 |
| DOI | 10.1016/S0252-9602(14)60013-8 |
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| Abstract | It is well known that the commutator Tb of the Calderbn-Zygmund singular integral operator is bounded on LP（Rn） for 1 〈 p 〈 ＋∞ if and only if b E BMO [1]. On the other hand, the commutator Tb is bounded from H1（Rn） into L1（Rn） only if the function b is a constant [2]. In this article, we will discuss the boundedness of commutator of certain pseudo-differential operators on Hardy spaces H1. Let Tσ be the operators that its symbol is Sσ1,δ with 0 ≤δ〈 1, if b ∈ LMO∞, then, the commutator [b, Tσ] is bounded from H1（Rn） into L1（Rn） and from L∞（Rn） into BMO（Rn）; If [b,Tσ] is bounded from H1（Rn） into L1（Rn） or L1（Rn） into BMO（Rn）, then, b ∈ LMOtoc. |
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| AbstractList | It is well known that the commutator Tb of the Calderbn-Zygmund singular integral operator is bounded on LP（Rn） for 1 〈 p 〈 ＋∞ if and only if b E BMO [1]. On the other hand, the commutator Tb is bounded from H1（Rn） into L1（Rn） only if the function b is a constant [2]. In this article, we will discuss the boundedness of commutator of certain pseudo-differential operators on Hardy spaces H1. Let Tσ be the operators that its symbol is Sσ1,δ with 0 ≤δ〈 1, if b ∈ LMO∞, then, the commutator [b, Tσ] is bounded from H1（Rn） into L1（Rn） and from L∞（Rn） into BMO（Rn）; If [b,Tσ] is bounded from H1（Rn） into L1（Rn） or L1（Rn） into BMO（Rn）, then, b ∈ LMOtoc. It is well known that the commutator Tb of the Calderón-Zygmund singular integral operator is bounded on Lp(Rn) for 1 <p < +∞ if and only if b ∈ BMO [1]. On the other hand, the commutator Tb is bounded from H1(Rn) into L1(Rn) only if the function b is a constant [2]. In this article, we will discuss the boundedness of commutator of certain pseudo-differential operators on Hardy spaces H1. Let Tσ be the operators that its symbol is S01,δ with 0 ≤ δ < 1, if b ∈ LMO∞, then, the commutator [b, Tσ] is bounded from H1(Rn) into L1(Rn) and from L1(Rn) into BMO(Rn); If [b, Tσ] is bounded from H1(Rn) into L1(Rn) or L1(Rn) into BMO(Rn), then, b ∈ LMOloc. It is well known that the commutator Tb of the Calder′on-Zygmund singular integral operator is bounded on Lp(Rn) for 1<p<+∞if and only if b∈BMO [1]. On the other hand, the commutator Tb is bounded from H1(Rn) into L1(Rn) only if the function b is a constant [2]. In this article, we will discuss the boundedness of commutator of certain pseudo-differential operators on Hardy spaces H1. Let Tσ be the operators that its symbol is S01,δwith 0≤δ<1, if b∈LMO∞, then, the commutator [b, Tσ] is bounded from H1(Rn) into L1(Rn) and from L∞(Rn) into BMO(Rn);If [b, Tσ] is bounded from H1(Rn) into L1(Rn) or L∞(Rn) into BMO(Rn), then, b∈LMOloc. |
| Author | 杨杰 王宇钊 陈文艺 |
| AuthorAffiliation | School of Mathematics and Statistics, Wuhan University, Wuhan 330071, China |
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| Cites_doi | 10.1007/s00041-010-9133-6 10.1017/S0004972710000390 10.1006/jfan.1995.1027 10.1007/BF01759640 10.2307/1970954 10.1007/s10114-004-0468-2 |
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| Copyright | 2014 Wuhan Institute of Physics and Mathematics Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| Keywords | commutator Pseudo-differential operator 42B30 Hardy space LMO space |
| Language | English |
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| Notes | Jie YANG, Yuzhao WANG, Wenyi CHEN （School of Mathematics and Statistics, Wuhan University, Wuhan 330071, China） 42-1227/O Hardy space; commutator; Pseudo-differential operator; LMO space It is well known that the commutator Tb of the Calderbn-Zygmund singular integral operator is bounded on LP（Rn） for 1 〈 p 〈 ＋∞ if and only if b E BMO [1]. On the other hand, the commutator Tb is bounded from H1（Rn） into L1（Rn） only if the function b is a constant [2]. In this article, we will discuss the boundedness of commutator of certain pseudo-differential operators on Hardy spaces H1. Let Tσ be the operators that its symbol is Sσ1,δ with 0 ≤δ〈 1, if b ∈ LMO∞, then, the commutator [b, Tσ] is bounded from H1（Rn） into L1（Rn） and from L∞（Rn） into BMO（Rn）; If [b,Tσ] is bounded from H1（Rn） into L1（Rn） or L1（Rn） into BMO（Rn）, then, b ∈ LMOtoc. |
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| References | Stein (bib13) 1970 Bongioanni, Harboure, Salinas (bib9) 2011; 17 Acquistapace (bib6) 1992; 161 Péerez (bib7) 1995; 128 Chang, Li (bib3) 1999; 28 Harbour, Segovia, Torrea (bib2) 1997; 41 The Anh Bui (bib10) 2013 Lin, Lu (bib5) 2008; 1 Li, Peng (bib8) 2010; 82 Wong (bib11) 1999 Stein (bib12) 1993 Coifman, Rochberg, Weiss (bib1) 1976; 103 Sun, Su (bib4) 2005; 21 Péerez (10.1016/S0252-9602(14)60013-8_bib7) 1995; 128 Stein (10.1016/S0252-9602(14)60013-8_bib12) 1993 The Anh Bui (10.1016/S0252-9602(14)60013-8_bib10) 2013 Bongioanni (10.1016/S0252-9602(14)60013-8_bib9) 2011; 17 Chang (10.1016/S0252-9602(14)60013-8_bib3) 1999; 28 Stein (10.1016/S0252-9602(14)60013-8_bib13) 1970 Harbour (10.1016/S0252-9602(14)60013-8_bib2) 1997; 41 Coifman (10.1016/S0252-9602(14)60013-8_bib1) 1976; 103 Acquistapace (10.1016/S0252-9602(14)60013-8_bib6) 1992; 161 Li (10.1016/S0252-9602(14)60013-8_bib8) 2010; 82 Wong (10.1016/S0252-9602(14)60013-8_bib11) 1999 Lin (10.1016/S0252-9602(14)60013-8_bib5) 2008; 1 Sun (10.1016/S0252-9602(14)60013-8_bib4) 2005; 21 |
| References_xml | – volume: 21 start-page: 1249 year: 2005 end-page: 1258 ident: bib4 article-title: An endpoint estimate for the commutator of singular integrals publication-title: Acta Mathematica Sinica, English Series – volume: 161 start-page: 231 year: 1992 end-page: 269 ident: bib6 article-title: On BMO regularity for linear elliptic systems publication-title: Ann Math Pura Appl – volume: 128 start-page: 163 year: 1995 end-page: 185 ident: bib7 article-title: Endpoint estimates for commutators of singular integral operators publication-title: J Func Anal – year: 1970 ident: bib13 publication-title: Singular Integrals and Differentiability Properties of Functions – year: 2013 ident: bib10 article-title: New weighted norm inequalities for pseudo-differential operators and their commutator publication-title: International Journal of Analysis – volume: 82 start-page: 367 year: 2010 end-page: 389 ident: bib8 article-title: Endpoint estimates for commutators of Riesz transforms associated with Schrödinger operators publication-title: Bull Aust Math Soc – volume: 103 start-page: 611 year: 1976 end-page: 635 ident: bib1 article-title: Factorization theorems for Hardy spaces in several variables publication-title: Ann Math – volume: 28 start-page: 341 year: 1999 end-page: 356 ident: bib3 article-title: On the boundedness of multipliers, commutators and the second derivatives of Green's operators on publication-title: Ann Scuola Norm Sup Pisa Cl Sci – volume: 17 start-page: 115 year: 2011 end-page: 134 ident: bib9 article-title: Commutators of Riesz transforms related to Schrödinger operators publication-title: Journal of Fourier Analysis and Applications – volume: 1 start-page: 31 year: 2008 end-page: 49 ident: bib5 article-title: Strongly singular Calderén-Zygmund operators and their commutators publication-title: Jordan Journal of Mathematics and Statistics (JJMS) – start-page: 2 year: 1999 ident: bib11 publication-title: An Introduction to Pseudo-differential Operators – year: 1993 ident: bib12 publication-title: Harmonic Analysis:Real Variable Methods, Orthogonality and Oscillatory Integrals – volume: 41 start-page: 676 year: 1997 end-page: 700 ident: bib2 article-title: Boundedness of commutators of fractional and singular integrals for the extreme values of publication-title: J Math – volume: 17 start-page: 115 issue: 1 year: 2011 ident: 10.1016/S0252-9602(14)60013-8_bib9 article-title: Commutators of Riesz transforms related to Schrödinger operators publication-title: Journal of Fourier Analysis and Applications doi: 10.1007/s00041-010-9133-6 – volume: 1 start-page: 31 year: 2008 ident: 10.1016/S0252-9602(14)60013-8_bib5 article-title: Strongly singular Calderén-Zygmund operators and their commutators publication-title: Jordan Journal of Mathematics and Statistics (JJMS) – volume: 82 start-page: 367 year: 2010 ident: 10.1016/S0252-9602(14)60013-8_bib8 article-title: Endpoint estimates for commutators of Riesz transforms associated with Schrödinger operators publication-title: Bull Aust Math Soc doi: 10.1017/S0004972710000390 – volume: 28 start-page: 341 issue: 4 year: 1999 ident: 10.1016/S0252-9602(14)60013-8_bib3 article-title: On the boundedness of multipliers, commutators and the second derivatives of Green's operators on H1 and BMO publication-title: Ann Scuola Norm Sup Pisa Cl Sci – volume: 41 start-page: 676 issue: 4 year: 1997 ident: 10.1016/S0252-9602(14)60013-8_bib2 article-title: Boundedness of commutators of fractional and singular integrals for the extreme values of p. III publication-title: J Math – start-page: 2 year: 1999 ident: 10.1016/S0252-9602(14)60013-8_bib11 – volume: 128 start-page: 163 issue: 1 year: 1995 ident: 10.1016/S0252-9602(14)60013-8_bib7 article-title: Endpoint estimates for commutators of singular integral operators publication-title: J Func Anal doi: 10.1006/jfan.1995.1027 – year: 2013 ident: 10.1016/S0252-9602(14)60013-8_bib10 article-title: New weighted norm inequalities for pseudo-differential operators and their commutator publication-title: International Journal of Analysis – volume: 161 start-page: 231 issue: 4 year: 1992 ident: 10.1016/S0252-9602(14)60013-8_bib6 article-title: On BMO regularity for linear elliptic systems publication-title: Ann Math Pura Appl doi: 10.1007/BF01759640 – year: 1993 ident: 10.1016/S0252-9602(14)60013-8_bib12 – volume: 103 start-page: 611 year: 1976 ident: 10.1016/S0252-9602(14)60013-8_bib1 article-title: Factorization theorems for Hardy spaces in several variables publication-title: Ann Math doi: 10.2307/1970954 – volume: 21 start-page: 1249 year: 2005 ident: 10.1016/S0252-9602(14)60013-8_bib4 article-title: An endpoint estimate for the commutator of singular integrals publication-title: Acta Mathematica Sinica, English Series doi: 10.1007/s10114-004-0468-2 – year: 1970 ident: 10.1016/S0252-9602(14)60013-8_bib13 |
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| Snippet | It is well known that the commutator Tb of the Calderbn-Zygmund singular integral operator is bounded on LP（Rn） for 1 〈 p 〈 ＋∞ if and only if b E BMO [1].... It is well known that the commutator Tb of the Calderón-Zygmund singular integral operator is bounded on Lp(Rn) for 1 <p < +∞ if and only if b ∈ BMO [1]. On... It is well known that the commutator Tb of the Calder′on-Zygmund singular integral operator is bounded on Lp(Rn) for 1<p<+∞if and only if b∈BMO [1]. On the... |
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| SubjectTerms | 42B30 BMO commutator Hardy space Hardy空间 LMO space Pseudo-differential operator 伪微分算子 奇异积分算子 拟微分算子 换向器 有界性 端点估计 |
| Title | ENDPOINT ESTIMATES FOR THE COMMUTATOR OF PSEUDO-DIFFERENTIAL OPERATORS |
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