Two-dimensional Waterman classes and $ u$-convergence of Fourier series

DOI10.1070/SM1999V190N07ABEH000414zbMath0937.42006OpenAlexW2009126691MaRDI QIDQ4940749

M. I. D'yachenko

Publication date: 27 February 2000

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1999v190n07abeh000414

zbMATH Keywords

convergencedouble Fourier seriesWaterman classes

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Related Items (6)

On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation ⋮ On the summability of double Walsh--Fourier series of functions of bounded generalized variation ⋮ On the convergence and summability of double Walsh-Fourier series of functions of bounded generalized variation ⋮ Negative order Cesàro means of double Fourier series and bounded generalized variation ⋮ On the convergence of multiple Fourier series of functions of bounded partial generalized variation ⋮ On certain integral means of functions of generalized bounded variation

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