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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Bibliographic Details
Published inProceedings of the Edinburgh Mathematical Society Vol. 42; no. 2; pp. 243 - 256
Main Authors Cerdà, Joan, Martín, Joaquim
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.06.1999
Online AccessGet full text
ISSN0013-0915
1464-3839
1464-3839
DOI10.1017/S0013091500020228

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Summary: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.
Bibliography:ArticleID:02022
ark:/67375/6GQ-3GC9FMJ0-R
istex:DCAC512745A15336D128AEBA681B568F9A9211BC
PII:S0013091500020228
ISSN:0013-0915
1464-3839
1464-3839
DOI:10.1017/S0013091500020228