A lower bound in the tail law of the iterated logarithm for lacunary trigonometric series

DOI10.1090/S0002-9939-2014-12055-7zbMath1301.42010OpenAlexW2049004898MaRDI QIDQ3190209

Charles N. Moore, Santosh Ghimire

Publication date: 16 September 2014

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12055-7

zbMATH Keywords

lacunary trigonometric seriesdyadic martingalesHadamard gap conditiontail law of iterated logarithm

Mathematics Subject Classification ID

Strong limit theorems (60F15) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Related Items (1)

Subgaussian estimates in probability and harmonic analysis

Cites Work

• Probabilistic behavior of harmonic functions
• The Law of the Iterated Logarithm for Lacunary Trigonometric Series
• On the Speed of Convergence to the Gaussian Law of Weighted Sums of Gap Series
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