Mean bounded variation condition and applications in double trigonometric series

DOI10.1007/S10476-012-0201-9zbMath1265.42022OpenAlexW17191946MaRDI QIDQ452857

Ping Zhou, Dansheng Yu, Song Ping Zhou

Publication date: 18 September 2012

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-012-0201-9

zbMATH Keywords

double trigonometric seriesweighted integrability

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 (3)

Double trigonometric series with positive coefficients ⋮ Two-dimensional Hardy-Littlewood theorem for functions with general monotone Fourier coefficients ⋮ On weighted integrability of double sine series

Cites Work

• Unnamed Item
• Ultimate generalization to monotonicity for uniform convergence of trigonometric series
• Integrability theorem of multiple trigonometric series
• On weighted integrability of double cosine series
• On the integrability and \(L^1\)-convergence of double trigonometric series. II
• A Hardy-Littlewood theorem for multiple series
• Integrability theorems for Fourier series
• Weighted integrability and L¹-convergence of multiple trigonometric series
• Two-parameter Hardy-Littlewood inequality and its variants
• On Double Cosine, Sine, and Walsh Series with Monotone Coefficients
• On the integrability and L¹-convergence of double trigonometric series
• On the integrability of trigonometric series

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