Sharp weak-type estimates for the dyadic-like maximal operators

DOI10.11650/tjm.19.2015.3550zbMath1357.42019OpenAlexW1617100863MaRDI QIDQ514907

Adam Osȩkowski

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.3550

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 (7)

Sharp weighted weak-norm estimates for maximal functions ⋮ Local lower norm estimates for dyadic maximal operators and related Bellman functions ⋮ A sharp two-weight estimate for the maximal operator under a bump condition ⋮ Fefferman-Stein inequalities for the dyadic-like maximal operators ⋮ On A_p–A_q weighted estimates for maximal operators ⋮ An extension of a Hardy's inequality and its applications ⋮ Sharp Lorentz estimates for dyadic-like maximal operators and related Bellman functions

Cites Work

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• Perturbation of Burkholder's martingale transform and Monge-Ampère equation
• Sharp weak type inequalities for the dyadic maximal operator
• Monge-Ampère equations and Bellman functions: the dyadic maximal operator
• On weak type inequalities for dyadic maximal functions
• Extremal problems related to maximal dyadic-like operators
• Sharp results in the integral-form John–Nirenberg inequality
• Sharp Martingale and Semimartingale Inequalities
• Dyadic-like maximal operators on integrable functions and Bellman functions related to Kolmogorov’s inequality
• Bellman Function and the $H^1-BMO$ Duality

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