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Bounds for norms of sums of double trigonometric series with multiply monotone coefficients

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Publication:1842470
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zbMath0821.42008MaRDI QIDQ1842470

T. M. Vukolova, M. I. D'yachenko

Publication date: 17 May 1995

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


zbMATH Keywords

estimatesdouble sine seriesrectangular partial sumsdouble cosine series\(L^ p\)-normcosine-sine series


Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)


Related Items (7)

Weighted integrability of double series with respect to multiplicative systems ⋮ Estimates of quasi-norms for a certain class of double sine series ⋮ Properties of sine series in weighted spaces ⋮ Estimates of norms of functions represented as double series over cosines with multiple-monotone coefficients ⋮ Smoothness of sums of trigonometric series with monotone coefficients ⋮ On the classes \(\mathrm{H}_{p}^{\omega}\) and \(\mathrm{Lip} (\alpha, p)\) for trigonometric series with monotone coefficients ⋮ On the Lebesgue summablility of truncated double Fourier series







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