Localization for multiple Fourier series with ``\(J_k\)-lacunary sequence of partial sums in Orlicz classes

DOI10.1134/S0001434614010039zbMath1312.42013OpenAlexW2051682810MaRDI QIDQ2341955

Z. N. Tsukareva, Igor L. Bloshanskii

Publication date: 8 May 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434614010039

zbMATH Keywords

localizationLebesgue measureOrlicz classesmultiple trigonometric Fourier serieslacunary sequence of partial sums

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 series and coefficients in several variables (42B05)

Related Items (1)

Localization for multiple Fourier series with ``\(J_k\)-lacunary sequence of partial sums in Orlicz classes

Cites Work

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• Localization for multiple Fourier series with ``\(J_k\)-lacunary sequence of partial sums in Orlicz classes
• Weak generalized localization for multiple Fourier series whose rectangular partial sums are considered with respect to some subsequence
• Analytic Extensions of Differentiable Functions Defined in Closed Sets

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