Variation inequality for the two-dimensional discrete Hardy-Littlewood maximal function

DOI10.1007/s00025-021-01486-3zbMath1470.42039OpenAlexW3192474798MaRDI QIDQ2044616

Hongxiu Zhou, Fa You Zhao

Publication date: 10 August 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01486-3

zbMATH Keywords

Sobolev spacesfunctions of bounded variationoperator normdiscrete Hardy-Littlewood maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functions of bounded variation, generalizations (26A45)

Cites Work

• Unnamed Item
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• A NOTE ON THE ENDPOINT REGULARITY OF THE HARDY–LITTLEWOOD MAXIMAL FUNCTIONS
• On the variation of the Hardy-Littlewood maximal function
• On approximate differentiability of the maximal function
• Continuity of the maximal operator in Sobolev spaces
• Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities
• A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function
• Endpoint Regularity of Multisublinear Fractional Maximal Functions
• On a discrete version of Tanaka’s theorem for maximal functions

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