TWO CRITERIA FOR WEAK GENERALIZED LOCALIZATION FOR MULTIPLE TRIGONOMETRIC FOURIER SERIES OF FUNCTIONS IN $L_p$, $p \ge 1$

DOI10.1070/IM1986V026N02ABEH001140zbMath0609.42013MaRDI QIDQ3749535

Publication date: 1986

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

multiple Fourier series generalized localization almost everywhere

Harmonic analysis in several variables (42B99) Fourier series and coefficients in several variables (42B05)

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Structural and geometric characteristics of sets of convergence and divergence of multiple Fourier series with $J_k$-lacunary sequence of rectangular partial sums ⋮ Trigonometric Fourier series and Walsh-Fourier series with lacunary sequence of partial sums ⋮ A weak generalized localization criterion for multiple Walsh-Fourier series with $J_k$-lacunary sequence of rectangular partial sums

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