A rigidity phenomenon for the Hardy–Littlewood maximal function

DOI10.4064/sm8368-12-2015zbMath1337.42022arXiv1410.0588OpenAlexW2964338133MaRDI QIDQ2787138

Stefan Steinerberger

Publication date: 24 February 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.0588

zbMATH Keywords

delay differential equationaveraging operatorHardy-Littlewood maximal functionLindemann-Weierstrass theoremtranscendental number theory

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Periodic solutions to functional-differential equations (34K13) Trigonometric polynomials, inequalities, extremal problems (42A05) Diophantine approximation, transcendental number theory (11J99)

Related Items (5)

Endpoint Sobolev and BV continuity for maximal operators ⋮ Level set estimates for the discrete frequency function ⋮ Derivative bounds for fractional maximal functions ⋮ SHARP INEQUALITIES FOR THE VARIATION OF THE DISCRETE MAXIMAL FUNCTION ⋮ The frequency function and its connections to the Lebesgue points and the Hardy–Littlewood maximal function

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• On the Behavior Near the Crest of Waves of Extreme Form
• On a discrete version of Tanaka’s theorem for maximal functions

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