On modular inequalities in variable L^p spaces

Details On modular inequalities in variable L^p spaces On modular inequalities in variable L^p spaces

2004-05-12

arxiv.org/abs/math/0405230v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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

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