Interpolation restricted to decreasing functions and Lorentz spaces
For the real interpolation method, we identify the interpolated spaces of couples of classical Lorentz spaces through interpolation of the corresponding weighted Lp-spaces restricted to decreasing functions.
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| Published in | Proceedings of the Edinburgh Mathematical Society Vol. 42; no. 2; pp. 243 - 256 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Cambridge, UK
Cambridge University Press
01.06.1999
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| Online Access | Get full text |
| ISSN | 0013-0915 1464-3839 1464-3839 |
| DOI | 10.1017/S0013091500020228 |
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| Abstract | For the real interpolation method, we identify the interpolated spaces of couples of classical Lorentz spaces through interpolation of the corresponding weighted Lp-spaces restricted to decreasing functions. |
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| AbstractList | For the real interpolation method, we identify the interpolated spaces of couples of classical Lorentz spaces through interpolation of the corresponding weighted Lp-spaces restricted to decreasing functions. For the real interpolation method, we identify the interpolated spaces of couples of classical Lorentz spaces through interpolation of the corresponding weighted L p -spaces restricted to decreasing functions. |
| Author | Cerdà, Joan Martín, Joaquim |
| Author_xml | – sequence: 1 givenname: Joan surname: Cerdà fullname: Cerdà, Joan email: cerda@cerber.mat.ub.es organization: Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, E-08071 Barcelona, Spain, E-mail addresses: cerda@cerber.mat.ub.es, jmartin@cerber.mat.ub.es – sequence: 2 givenname: Joaquim surname: Martín fullname: Martín, Joaquim email: cerda@cerber.mat.ub.es organization: Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, E-08071 Barcelona, Spain, E-mail addresses: cerda@cerber.mat.ub.es, jmartin@cerber.mat.ub.es |
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| Cites_doi | 10.1016/0022-1236(72)90068-7 10.1515/form.1992.4.135 10.4153/CJM-1991-065-9 10.4064/sm-96-2-145-158 10.4153/CJM-1993-064-2 10.1006/jfan.1993.1042 10.1007/978-3-642-66451-9 10.1002/mana.19780860103 10.7146/math.scand.a-12585 10.1112/jlms/s2-48.3.465 10.4064/sm-41-2-169-181 10.7146/math.scand.a-11754 10.1090/S0002-9939-98-04273-7 |
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| Copyright | Copyright © Edinburgh Mathematical Society 1999 |
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| References | S0013091500020228_ref018 Hudzik (S0013091500020228_ref013) 1990; 110 Krein (S0013091500020228_ref014) 1982; 54 S0013091500020228_ref007 S0013091500020228_ref006 Bennett (S0013091500020228_ref003) 1988 S0013091500020228_ref017 S0013091500020228_ref004 S0013091500020228_ref012 S0013091500020228_ref001 Maligranda (S0013091500020228_ref015) 1987; 35 Brudny (S0013091500020228_ref005) 1991 Merucci (S0013091500020228_ref016) 1982; 295 S0013091500020228_ref009 S0013091500020228_ref019 S0013091500020228_ref008 S0013091500020228_ref021 S0013091500020228_ref010 Ariño (S0013091500020228_ref002) 1990; 320 S0013091500020228_ref020 García del Amo (S0013091500020228_ref011) 1993; 44 |
| References_xml | – ident: S0013091500020228_ref020 doi: 10.1016/0022-1236(72)90068-7 – ident: S0013091500020228_ref017 doi: 10.1515/form.1992.4.135 – ident: S0013091500020228_ref001 doi: 10.4153/CJM-1991-065-9 – ident: S0013091500020228_ref019 doi: 10.4064/sm-96-2-145-158 – volume-title: Interpolation of Operators year: 1988 ident: S0013091500020228_ref003 – ident: S0013091500020228_ref006 doi: 10.4153/CJM-1993-064-2 – volume: 295 start-page: 427 year: 1982 ident: S0013091500020228_ref016 article-title: Interpolation réelle avec fonction paramètre: réitération et applications aux espaces Λp(Φ) (0 < p ≤∞) publication-title: C. R. Acad. Sci. Paris – volume: 54 year: 1982 ident: S0013091500020228_ref014 publication-title: Interpolation of Linear Operators – ident: S0013091500020228_ref007 doi: 10.1006/jfan.1993.1042 – ident: S0013091500020228_ref004 doi: 10.1007/978-3-642-66451-9 – volume: 44 start-page: 115 year: 1993 ident: S0013091500020228_ref011 article-title: On reverse Hardy's inequality publication-title: Collect. Math. – volume: 320 start-page: 727 year: 1990 ident: S0013091500020228_ref002 article-title: Maximal functions on classical Lorentz spaces and Hardy's inequality for nonincreasing functions publication-title: Trans. Amer. Math. Soc. – ident: S0013091500020228_ref010 doi: 10.1002/mana.19780860103 – ident: S0013091500020228_ref008 doi: 10.7146/math.scand.a-12585 – volume-title: Interpolation Functors and Interpolation Spaces year: 1991 ident: S0013091500020228_ref005 – ident: S0013091500020228_ref021 doi: 10.1112/jlms/s2-48.3.465 – ident: S0013091500020228_ref018 doi: 10.4064/sm-41-2-169-181 – ident: S0013091500020228_ref012 doi: 10.7146/math.scand.a-11754 – volume: 110 start-page: 89 year: 1990 ident: S0013091500020228_ref013 article-title: An interpolation theorem in symmetric function F-spaces publication-title: Proc. Amer. Math. Soc. – volume: 35 start-page: 765 year: 1987 ident: S0013091500020228_ref015 article-title: Real interpolation between weighted Lp and Lorentz spaces publication-title: Bull Pol. Acad. Sci. – ident: S0013091500020228_ref009 doi: 10.1090/S0002-9939-98-04273-7 |
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| Title | Interpolation restricted to decreasing functions and Lorentz spaces |
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