Sharp self-improving property of discrete Muckenhoupt and Gehring weights

DOI10.1007/s13398-021-01063-xzbMath1470.42032OpenAlexW3160149508MaRDI QIDQ2037029

Samir H. Saker, Mario Krnić, Safi S. Rabie

Publication date: 30 June 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01063-x

zbMATH Keywords

weightself-improving propertydiscrete Muckenhoupt classdiscrete Gehring class

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Inequalities for sums, series and integrals (26D15) Discrete version of topics in analysis (39A12) Summability methods on groups, semigroups, etc. (43A55)

Cites Work

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• On a discrete version of Tanaka’s theorem for maximal functions
• The 𝐿^{𝑝}-integrability of the partial derivatives of a quasiconformal mapping