The Sidon-Zygmund inequality in the theory of lacunary trigonometric series

DOI10.1007/BF01137801zbMath0488.42010OpenAlexW2002388848MaRDI QIDQ1166045

Alexander S. Belov

Publication date: 1981

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01137801

zbMATH Keywords

inequalitiesmodulus of continuityFourier serieslacunary trigonometric series

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Related Items

Smoothness of the sum of lacunary trigonometric series

Cites Work

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• Concerning a theorem of Paley on lacunary power series
• On lacunary power series
• Convergence and divergence of non-harmonic gap series
• Quelques théorèmes sur les séries trigonométriques et celles de puissances
• On Lacunary Trigonometric Series
• LACUNARY SERIES AND INDEPENDENT FUNCTIONS
• Lacunary Taylor and Fourier series