An alternative approach to sharp $L^1$ estimates for the dyadic maximal operator

zbMath1493.42031arXiv2104.03585MaRDI QIDQ5090186

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Publication date: 18 July 2022

Full work available at URL: https://arxiv.org/abs/2104.03585

zbMATH Keywords

dyadic maximal operatorBellman type functions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Cites Work

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• Dyadic-like maximal operators on \(L \log L\) functions
• Sharp general local estimates for dyadic-like maximal operators and related Bellman functions
• Extremal problems related to maximal dyadic-like operators
• The Bellman functions of dyadic-like maximal operators and related inequalities
• The Bellman function of the dyadic maximal operator in connection with the dyadic Carleson imbedding theorem
• A sharp integral rearrangement inequality for the dyadic maximal operator and applications
• Note on the class LlogL
• Sharp Maximal Inequalities for Conditionally Symmetric Martingales and Brownian Motion

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