On modular inequalities in variable Lp spaces

Andrei K. Lerner

doi:10.1007/s00013-005-1302-5

On modular inequalities in variable L^p spaces

Andrei K. Lerner

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

We show that the Hardy-Littlewood maximal operator and a class of Calderón-Zygmund singular integrals satisfy the strong type modular inequality in variable L^p spaces if and only if the variable exponent p(x)∼ const.

Original language	English
Pages (from-to)	538-543
Number of pages	6
Journal	Archiv der Mathematik
Volume	85
Issue number	6
DOIs	https://doi.org/10.1007/s00013-005-1302-5
State	Published - Dec 2005

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abstract = "We show that the Hardy-Littlewood maximal operator and a class of Calder{\'o}n-Zygmund singular integrals satisfy the strong type modular inequality in variable Lp spaces if and only if the variable exponent p(x)∼ const.",

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On modular inequalities in variable L^p spaces

Abstract

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