Best constants in some estimates for the harmonic maximal operator on the real line

DOI10.4064/cm8213-4-2020zbMath1479.42052OpenAlexW3083303583MaRDI QIDQ4997530

Adam Osȩkowski, Łukasz Kamiński

Publication date: 29 June 2021

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8213-4-2020

zbMATH Keywords

maximal operatorbest constantstability estimate

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Cites Work

• Quantitative logarithmic Sobolev inequalities and stability estimates
• A note on the Sobolev inequality
• Norm inequalities for the minimal and maximal operator, and differentiation of the integral
• Stability in Burkholder's differentially subordinate martingales inequalities and applications to Fourier multipliers
• Duality and stability for functional inequalities
• Stability Results for Logarithmic Sobolev and Gagliardo–Nirenberg Inequalities
• Classical Fourier Analysis
• The minimal operator and the geometric maximal operator in Rⁿ
• On the harmonic and geometric maximal operators
• The Structure of the Reverse Holder Classes
• 7 Spectral inequalities in quantitative form
• Remainder terms in the fractional Sobolev inequality

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