The maximal function of the devil's staircase is absolutely continuous

DOI10.1007/s12220-024-01562-4arXiv2210.00385MaRDI QIDQ6200342

Dariusz Kosz, Cristian González-Riquelme

Publication date: 22 March 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.00385

zbMATH Keywords

continuitymaximal operatorbounded variation

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Absolutely continuous real functions in one variable (26A46)

Cites Work

• The Hardy-Littlewood maximal function of a Sobolev function
• The variation of the maximal function of a radial function
• On the regularity of the maximal function of a BV function
• Regularity of the local fractional maximal function
• BV continuity for the uncentered Hardy-Littlewood maximal operator
• Variation of the uncentered maximal characteristic function
• Weak differentiability for fractional maximal functions of general \(L^p\) functions on domains
• Endpoint Sobolev and BV continuity for maximal operators
• Derivative bounds for fractional maximal functions
• On the variation of the Hardy-Littlewood maximal function
• 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

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