Integrability and L-convergence of multiple trigonometric series

DOI10.1017/S0004972700016397zbMath0795.42007OpenAlexW2131062775MaRDI QIDQ4299274

Chang-Pao Chen

Publication date: 29 August 1994

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700016397

zbMATH Keywords

integrabilityorthonormal functionsmultiple trigonometric series\(L\)-convergencedouble Walsh series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier series and coefficients in several variables (42B05)

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Some convergence theorems for Lebesgue integrals ⋮ Unnamed Item ⋮ Double Walsh series with coefficients of bounded variation of higher order

Cites Work

• On the integrability of double Walsh series with special coefficients
• Convergence and Integrability of Double Trigonometric Series with Coefficients of Bounded Variation
• On the Walsh Functions