Tauberian conditions, Muckenhoupt weights, and differentiation properties of weighted bases

DOI10.1090/S0002-9947-2015-06339-9zbMath1330.42013arXiv1304.1015OpenAlexW1998511527MaRDI QIDQ2944924

Ioannis Parissis, Teresa Luque, Paul Alton Hagelstein

Publication date: 8 September 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1015

zbMATH Keywords

Lebesgue differentiation theoremMuckenhoupt weightsTauberian conditionHardy-Littlewood strong maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items

On the \(A_\infty\) conditions for general bases, Weighted Solyanik estimates for the Hardy-Littlewood maximal operator and embedding of \(\mathcal A_\infty\) into \(\mathcal A_p\), Unboundedness for some strong maximal functions on weighted Lebesgue spaces, A $B_p$ condition for the strong maximal function, Weighted and unweighted Solyanik estimates for the multilinear strong maximal function, Solyanik estimates and local Hölder continuity of halo functions of geometric maximal operators, Wavelet representation of singular integral operators, Sharp inequalities for one-sided Muckenhoupt weights, On the harmonic and geometric maximal operators, A Note on Local Hölder Continuity of Weighted Tauberian Functions, Beyond local maximal operators, Reverse Hölder property for strong weights and general measures, Two weight inequalities for positive operators: doubling cubes, Geometric maximal operators and BMO on product bases, On the boundedness of multilinear fractional strong maximal operators with multiple weights, The Fefferman-Stein type inequalities for the multilinear strong maximal functions

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