Weighted integrability of double series with respect to multiplicative systems

DOI10.1007/s10958-015-2484-4zbMath1336.39010OpenAlexW1132836119MaRDI QIDQ267590

R. N. Fadeev, Sergey S. Volosivets

Publication date: 11 April 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2484-4

zbMATH Keywords

double series\(L^p\)-integrabilitydifference quotientmultiplicative system

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Discrete version of topics in analysis (39A12) General theory of difference equations (39A05)

Cites Work

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• Estimates of best approximations in integral metrics and Fourier coefficients with respect to multiplicative systems
• On the integrability of double Walsh series with special coefficients
• Trigonometric series with general monotone coefficients
• On certain conditions in the theory of series with respect to multiplicative systems
• Inequalities of Hardy-Littlewood type
• On the properties of sums of trigonometric series with monotone coefficients
• A new class of numerical sequences and its applications to sine and cosine series
• Bounds for norms of sums of double trigonometric series with multiply monotone coefficients
• Weighted integrability of double trigonometric series and of double series with respect to multiplicative systems with coefficients of class \({R_0^+BV S^2}\)
• A Hardy-Littlewood theorem for multiple series
• Integrability theorems for Fourier series
• Integrability and continuity of functions represented by trigonometric series: coefficients criteria
• On Walsh series with coefficients tending monotonically to zero
• Weighted integrability of double cosine series with nonnegative coefficients
• On Double Cosine, Sine, and Walsh Series with Monotone Coefficients
• On the integrability of trigonometric series

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