On modular inequalities in variable L^p spaces
classification
🧮 math.CA
keywords
variablemodularspacescalderclassconstexponenthardy-littlewood
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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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