Boundedness of Hausdorff operators on Hardy spaces over homogeneous spaces of Lie groups

zbMath1493.43006arXiv2102.09859MaRDI QIDQ5034850

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Publication date: 21 February 2022

Full work available at URL: https://arxiv.org/abs/2102.09859

zbMATH Keywords

Hardy spaceLie grouphomogeneous spaceHausdorff operatorgeneralized shift operator of Delsarte

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Integral operators (47G10)

Related Items (2)

Hausdorff operators on compact abelian groups ⋮ Generalized Hausdorff-Zhu operators on Möbius invariant spaces

Cites Work

• Quantization on nilpotent Lie groups
• Hausdorff operators on function spaces
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• Green's functions, harmonic functions, and volume comparison
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• On the description of multidimensional normal Hausdorff operators on Lebesgue spaces
• On the general form of linear functionals on the Hardy spaces \(H^1\) over compact abelian groups and some of its applications
• Structure and Geometry of Lie Groups
• Certain Operators and Fourier Transforms on L 2
• Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces
• The Hausdorff Mean of a Fourier-Stieltjes Transform
• Extensions of Hardy spaces and their use in analysis
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• 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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