On the endpoint behaviour of oscillatory maximal functions

DOI10.1016/j.jmaa.2020.124670zbMath1458.42015arXiv2001.11546OpenAlexW3093239687MaRDI QIDQ1995738

Cynthia Bortolotto, Tainara Borges, João Pedro Ramos

Publication date: 25 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11546

zbMATH Keywords

maximal functionsoscillatory integralsendpoint bounds

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

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• The variation of the maximal function of a radial function
• The pointwise convergence of Fourier series. II: strong \(L^1\) case for the lacunary Carleson operator
• On the variation of the Hardy-Littlewood 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

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