On the sweeping out property for convolution operators of discrete measures

DOI10.1090/S0002-9939-2010-10829-8zbMath1225.42013arXiv1210.1956MaRDI QIDQ5200179

Grigori A. Karagulyan

Publication date: 1 August 2011

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

Full work available at URL: https://arxiv.org/abs/1210.1956

zbMATH Keywords

discrete measuresBellow problembounded entropy theoremsweeping out property

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Well-distributed sequences and other variations (11K36) Ergodic theory (37Axx)

Related Items

Good functions for translations

Cites Work

• Almost sure convergence and bounded entropy
• Compactness of families of convolution operators with respect to convergence almost everywhere
• Sweeping Out Properties of Operator Sequences
• The strong sweeping out property for lacunary sequences, Riemann sums, convolution powers, and related matters
• On Riemann sums and maximal functions in $ \mathbb R^n$
• An Arithmetic Property of Riemann Sums
• On Khinchin's Conjecture about Strong Uniform Distribution