Hausdorff operators on homogeneous spaces of locally compact groups

MaRDI QIDQ6669600

A. R. Mirotin

Publication date: 22 January 2025

Published in: Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika (Search for Journal in Brave)

zbMATH Keywords

Lebesgue spacehomogeneous spacelocally compact groupbounded operatorHausdorff operatoratomic Hardy space

Mathematics Subject Classification ID

Integral operators (47G10) Hardy spaces (30H10)

Cites Work

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• Topics in harmonic analysis on homogeneous spaces
• 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
• On the structure of normal Hausdorff operators on Lebesgue spaces
• On the description of multidimensional normal Hausdorff operators on Lebesgue spaces
• Addendum to: ``Boundedness of Hausdorff operators on real Hardy spaces \(H^1\) over locally compact groups
• On the general form of linear functionals on the Hardy spaces \(H^1\) over compact abelian groups and some of its applications
• The Hausdorff Mean of a Fourier-Stieltjes Transform
• Extensions of Hardy spaces and their use in analysis
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Sobolev Spaces on Metric Measure Spaces
• Multidimensional Hausdorff operators on the real Hardy space

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