Maximum inequalities in rearrangements of orthogonal series

DOI10.1515/gmj-2022-2181zbMath1503.32012OpenAlexW4292457647WikidataQ114053015 ScholiaQ114053015MaRDI QIDQ2101291

Sergei Chobanyan, Shlomo Levental

Publication date: 5 December 2022

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2022-2181

zbMATH Keywords

inequalitiesrearrangements of summands in normed spaces

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Holomorphic maps with infinite-dimensional arguments or values (32K12)

Cites Work

• Towards Nikishin's theorem on the almost sure convergence of rearrangements of functional series
• Series in Banach spaces: conditional and unconditional convergence. Transl. from the Russian by Andrei Iacob
• Prokhorov blocks and strong law of large numbers under rearrangements
• Rearrangement of Fourier series and Fourier series whose terms have random signs
• Permutations, signs and the Brownian bridge
• Rearrangements of series
• Existence of almost everywhere convergent rearrangements for Fourier series of \(L_ 2\) functions
• On uniformly convergent rearrangements of trigonometric Fourier series
• The o . convergence of rearrangements of series of functions
• Exact Maximal Inequalities for Exchangeable Systems of Random Variables
• A Maximal Inequality for Real Numbers with Application to Exchangeable Random Variables
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