Almost everywhere convergence of series in $L^1$

DOI10.1090/S0002-9939-05-07957-8zbMath1092.28011MaRDI QIDQ4671870

Ciprian Demeter

Publication date: 27 April 2005

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

zbMATH Keywords

a.e. convergenceergodic Hilbert transform

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Strong limit theorems (60F15)

Related Items (2)

Weighted and ergodic theorems for series of differences of convolutions ⋮ On convergence of oscillatory ergodic Hilbert transforms

Cites Work

• Differential and ergodic transforms
• Almost everywhere convergence of weighted averages
• Maximal and singular integral operators via Fourier transform estimates
• Almost everywhere convergence of series
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• Martingale Transforms
• On weighted inequalities for singular integrals
• ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS

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