Sharp weighted logarithmic bound for maximal operators

DOI10.1007/S00013-016-0980-5zbMath1361.42020OpenAlexW2558377593WikidataQ59473672 ScholiaQ59473672MaRDI QIDQ2520698

Adam Osȩkowski

Publication date: 16 December 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0980-5

zbMATH Keywords

Bellman functionmaximalbest constantsdyadic

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (1)

Fefferman-Stein inequalities for the dyadic-like maximal operators

Cites Work

• Unnamed Item
• Survey article: A user's guide to Bellman functions
• Monge-Ampère equations and Bellman functions: the dyadic maximal operator
• The Bellman functions of dyadic-like maximal operators and related inequalities
• Burkholder's function via Monge-Ampère equation
• Sharp results in the integral-form John–Nirenberg inequality
• Bellman Function and the $H^1-BMO$ Duality
• The Best Bound in the L logL Inequality of Hardy and Littlewood and its Martingale Counterpart
• Weighted inequalities for the maximal geometric mean operator
• Monge--Amp\`ere equation and Bellman optimization of Carleson Embedding Theorems
• Some Maximal Inequalities

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