On compactness of maximal operators

DOI10.1134/S0037446615040035zbMath1323.47038MaRDI QIDQ748467

E. I. Berezhnoi

Publication date: 29 October 2015

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

maximal operatorcompactnessrearrangement invariant spacedifferential basisideal Banach space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38)

Cites Work

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• On the non-compactness of maximal operators.
• Differentiation of integrals in \(\mathbb{R}^n\)
• On the differentiation of integrals of functions from symmetric spaces by differential bases
• On a measure of non–compactness for maximal operators
• The halo problem in the theory of differentiation of integrals
• Distinguishing between symmetric spaces and \(L^\infty\) by a differential basis