On the integrability and \(L^1\)-convergence of double trigonometric series. II

DOI10.1007/BF01874612zbMath0902.42005OpenAlexW1967770304MaRDI QIDQ1912654

Ferenc Móricz

Publication date: 2 December 1998

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01874612

zbMATH Keywords

Fourier seriesdouble trigonometric series\(L^1\)-convergenceSidon type inequalitycosine-sine seriesdouble cosine and sine series

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items

On the integrability of double cosine and sine series. I, On \(L^1\)-convergence of double sine series, Mean bounded variation condition and applications in double trigonometric series, \(L^1\)-convergence of complex double Fourier series, On \(L_1\)-convergence of Fourier series

Cites Work

• Integrability of double cosine-sine series in the sense of improper Riemann integral
• Hinreichende Bedingungen fur den Fourier-Charakter Einer Trigonometrischen Reihe*