A sharp integral rearrangement inequality for the dyadic maximal operator and applications

DOI10.1016/j.acha.2014.03.008zbMath1306.42038arXiv1305.2521OpenAlexW2025529122MaRDI QIDQ2512834

Eleftherios N. Nikolidakis, Antonios D. Melas

Publication date: 30 January 2015

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2521

zbMATH Keywords

Bellman functiondyadic maximal operatorintegral rearrangement inequality

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (8)

The Bellman function of the dyadic maximal operator in connection with the dyadic Carleson imbedding theorem ⋮ The Bellman function of the dyadic maximal operator related to Kolmogorov's inequality ⋮ Sharp integral inequalities for the dyadic maximal operator and applications ⋮ A sharp integral inequality for the dyadic maximal operator and a related stability result ⋮ Sharp Lorentz estimates for dyadic-like maximal operators and related Bellman functions ⋮ An alternative approach to sharp $L^1$ estimates for the dyadic maximal operator ⋮ Monotonic rearrangements of functions with small mean oscillation ⋮ Extremal sequences for the Bellman function of three variables of the dyadic maximal operator related to Kolmogorov’s inequality

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