A class of Hausdorff-Berezin operators on the unit disc

DOI10.1007/S11785-019-00934-XzbMath1494.47085OpenAlexW2951223171WikidataQ127678442 ScholiaQ127678442MaRDI QIDQ2279032

Alexey N. Karapetyants, Stefan G. Samko, K. H. Zhu

Publication date: 12 December 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-019-00934-x

zbMATH Keywords

Bergman kernelHaar measureBerezin transformMöbius groupHausdorff operatorsinvariant kernel

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (12)

A class of Hausdorff-Zhu operators ⋮ New classes of function spaces and singular operators ⋮ Hadamard-Bergman operators on weighted spaces ⋮ Estimates for singular numbers of Hausdorff–Zhu operators and applications ⋮ Homogeneous operators and homogeneous integral operators ⋮ Hausdorff–Berezin operators on weighted spaces ⋮ Professor Stefan G. Samko research: a decade retrospective ⋮ Hadamard-Bergman convolution operators ⋮ Hausdorff operators on some spaces of holomorphic functions on the unit disc ⋮ Hausdorff operators on Bergman spaces of the upper half plane ⋮ Hausdorff operators on weighted Banach spaces of type \(H^\infty\) ⋮ Generalized Hausdorff-Zhu operators on Möbius invariant spaces

Cites Work

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• Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces
• An extension of the Forelli–Rudin projection theorem
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Multidimensional Hausdorff operators on the real Hardy space
• Hausdorff and Quasi-Hausdorff Matrices on Spaces of Analytic Functions

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