Almost everywhere convergence of multiple trigonometric Fourier series of functions from Sobolev classes

DOI10.1134/S0001434621010193zbMath1467.42013OpenAlexW3182010780MaRDI QIDQ2037643

Ravshan Ashurov

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621010193

zbMATH Keywords

Sobolev spacesspherical partial sumsmultiple Fourier seriesalmost everywhere convergence

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability in several variables (42B08)

Related Items (1)

On a Stokes system arising in a free surface viscous flow of a horizontally periodic fluid with fractional boundary operators

Cites Work

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• Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an \(L^ 2\)-localisation principle
• Almost everywhere summability of multiple Fourier integrals
• Classical Fourier Analysis
• Maximal operators defined by Fourier multipliers

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