Triangular Cesàro summability of two dimensional Fourier series

DOI10.1007/S10474-011-0095-1zbMath1240.42029OpenAlexW2042177998MaRDI QIDQ653851

Ferenc Weisz

Publication date: 19 December 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0095-1

zbMATH Keywords

interpolationHardy spaceCesàro summabilityFourier series\(p\)-atomtriangular summation

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) (H^p)-spaces (42B30) Summability in several variables (42B08)

Related Items (3)

Triangular Cesàro summability and Lebesgue points of two-dimensional Fourier series ⋮ Weak type inequalities for the \(\ell_1\)-summability of higher dimensional Fourier transforms ⋮ Triangular Fejér summability of two-dimensional Walsh-Fourier series

Cites Work

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• Summability of product Jacobi expansions
• Christoffel functions and Fourier series for multivariate orthogonal polynomials
• Fejér means for multivariate Fourier series
• On multivariate projection operators
• On convergence and growth of partial sums of Fourier series
• Nörlund summability of multiple Fourier series
• Summability of Multi-Dimensional Fourier Series and Hardy Spaces
• On the convergence of multiple Fourier series
• On \(\ell-1\) Riesz summability of the inverse Fourier integral

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