Marcinkiewicz \(r\)-classes and Fourier series expansions of operator ergodic Stieltjes convolutions

DOI10.1016/J.CRMA.2013.10.017zbMath1284.42017OpenAlexW2001855825MaRDI QIDQ387782

Earl Berkson

Publication date: 17 December 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2013.10.017

zbMATH Keywords

Fourier series expansionMarcinkewicz \(r\)-classmodulus-mean-bounded operatoroperator ergodic Stieltjes convolution

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Ergodic theorems, spectral theory, Markov operators (37A30) Linear operators on function spaces (general) (47B38) Measure-theoretic ergodic theory (28D99)

Cites Work

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• Rotation methods in operator ergodic theory
• Spectral theory and operator ergodic theory on super-reflexive Banach spaces
• Mean-boundedness and Littlewood-Paley for separation-preserving operators

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