Improved Buckley's theorem on locally compact abelian groups

DOI10.2140/pjm.2019.299.171zbMath1430.42022arXiv1711.05223OpenAlexW3098511484WikidataQ127925388 ScholiaQ127925388MaRDI QIDQ2632827

Victoria Paternostro, Ezequiel Rela

Publication date: 15 May 2019

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

Full work available at URL: https://arxiv.org/abs/1711.05223

zbMATH Keywords

reverse Hölder inequalityMuckenhoupt weightsmaximal functionslocally compact abelian groups

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Analysis on specific locally compact and other abelian groups (43A70) Locally compact abelian groups (LCA groups) (22B99)

Related Items (4)

Weighted norm inequalities for maximal operator of Fourier series ⋮ John-Nirenberg space on LCA groups ⋮ \(H^1\), BMO, and John-Nirenberg inequality on LCA groups ⋮ Maximal operators on the infinite-dimensional torus

Cites Work

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• Weighted Solyanik estimates for the Hardy-Littlewood maximal operator and embedding of \(\mathcal A_\infty\) into \(\mathcal A_p\)
• Weighted inequalities for the dyadic square function without dyadic \(A_{\infty}\)
• An extrapolation theorem in non-Euclidean geometries and its application to partial differential equations
• A wavelet theory for local fields and related groups
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• Weighted Littlewood-Paley theory and exponential-square integrability
• An elementary approach to several results on the Hardy-Littlewood maximal operator
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• Weighted Norm Inequalities for the Hardy Maximal Function

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