A REMARK ON THE REGULARITY OF THE DISCRETE MAXIMAL OPERATOR

DOI10.1017/S0004972716000940zbMath1364.42020MaRDI QIDQ2986575

Feng Liu

Publication date: 16 May 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

continuitybounded variationfractional maximal operatordiscrete maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Functions of bounded variation, generalizations (26A45) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

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Cites Work

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• On the Regularity of the Multisublinear Maximal Functions
• On the regularity of maximal operators
• REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
• A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function
• On a discrete version of Tanaka’s theorem for maximal functions

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