Almost everywhere convergence of convolution powers without finite second moment

DOI10.5802/AIF.2618zbMath1242.47010arXiv1008.1329OpenAlexW2962807734MaRDI QIDQ646391

Christopher M. Wedrychowicz

Publication date: 17 November 2011

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1329

zbMATH Keywords

Fourier transformconvolution powersa.e convergenceLipschitz class \(Lip(\alpha)\)

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Maximal functions, Littlewood-Paley theory (42B25) Ergodic theory of linear operators (47A35)

Related Items (1)

On the Ritt property and weak type maximal inequalities for convolution powers on $\ell ^1(\mathbb {Z})$

Cites Work

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• Almost everywhere convergence of weighted averages
• Absolutely convergent Fourier series and function classes
• A remark on almost everywhere convergence of convolution powers
• The strong sweeping out property for convolution powers
• On Iterates of Convolutions
• Almost everywhere convergence of convolution powers

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