Approximation via Hausdorff operators

DOI10.4153/S0008439520000612zbMath1481.41010arXiv1907.04119OpenAlexW3049184914MaRDI QIDQ5152495

A. Debernardi, Elijah Liflyand

Publication date: 24 September 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04119

zbMATH Keywords

moduli of continuityHausdorff operatorsapproximation in Lebesgue spaces

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (2)

Order of approximation by partial Hausdorff integrals ⋮ Hausdorff–Berezin operators on weighted spaces

Cites Work

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• Hardy spaces in Reinhardt domains, and Hausdorff operators
• Hardy-Littlewood and Pitt's inequalities for Hausdorff operators
• Boundedness of Hausdorff operators on real Hardy spaces \(H^{1}\) over locally compact groups
• Multivariate Hausdorff operators on the spaces \(L^p(\mathbb R^n)\)
• Hausdorff operators on Euclidean spaces
• Hausdorff operators on Morrey-type spaces
• The Hausdorff operators on the real Hardy spaces H^p(R)
• Boundedness of the Hausdorff operators in H^pspaces, 0<p<1
• The Hausdorff Mean of a Fourier-Stieltjes Transform
• Boundedness of multidimensional Hausdorff operators in 𝐻^{𝑝} spaces, 0<𝑝<1
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Multidimensional Hausdorff operators on the real Hardy space

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