\(\ell _{1}\)-summability of higher-dimensional Fourier series

DOI10.1016/j.jat.2010.07.011zbMath1221.42014OpenAlexW1994571184MaRDI QIDQ630486

Ferenc Weisz

Publication date: 17 March 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2010.07.011

zbMATH Keywords

interpolationHardy spacesFourier series\(\ell _{1}-\theta \)-summation\(p\)-atom

Mathematics Subject Classification ID

Summability in several variables (42B08)

Related Items

On multivariate de la Vallée Poussin-type projection operators ⋮ \(\ell^1\)-summability and Fourier series of B-splines with respect to their knots ⋮ Weak type inequalities for the \(\ell_1\)-summability of higher dimensional Fourier transforms ⋮ Summability methods for elastic local fields in periodic heterogeneous materials ⋮ A remark on multivariate projection operators ⋮ On approximations for functions in the space of uniformly convergent Fourier series ⋮ Lebesgue points of \(\ell_1\)-Cesàro summability of \(d\)-dimensional Fourier series

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