SHARP WEIGHTED BOUNDS FOR GEOMETRIC MAXIMAL OPERATORS

DOI10.1017/S0017089516000331zbMath1440.42090OpenAlexW2417005663MaRDI QIDQ5369108

Adam Osȩkowski

Publication date: 13 October 2017

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089516000331

zbMATH Keywords

probability spaces equipped with a tree-like structure

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
• Weighted norm inequalities for the geometric 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
• Weighted inequalities for the one-sided geometric maximal operators
• Bellman Function and the $H^1-BMO$ Duality
• The minimal operator and the geometric maximal operator in Rⁿ
• 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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