Summability of Fourier transforms and absolute convergence of multiple Fourier series

zbMath0749.42007MaRDI QIDQ1813235

Ya. S. Bugrov

Publication date: 25 June 1992

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

multiple Fourier seriesabsolute convergenceHausdorff-Young inequalitymultiple Fourier transformspaces \(L^ p\)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

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