Two classes of integral operators over the Siegel upper half-space

DOI10.1007/s11785-018-0785-6zbMath1421.32011arXiv1701.04074OpenAlexW3104722304MaRDI QIDQ2312992

Lifang Zhou, Yi Liu, Cong Wen Liu, Peng Yan Hu

Publication date: 18 July 2019

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

Full work available at URL: https://arxiv.org/abs/1701.04074

zbMATH Keywords

Siegel upper half-spaceweighted \(L^p\) spacesBergman-type operatorsboundedness of integral operators

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Integral operators (47G10) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items

The precise norm of a class of Forelli-Rudin type operators on the Siegel upper half space ⋮ The boundedness of Forelli-Rudin type operators on the Siegel upper half space ⋮ \(L^p\) boundedness of Forelli-Rudin type operators on the Hartogs triangle ⋮ Off-diagonal boundedness and unboundedness of product Bergman-type operators ⋮ Schatten class positive Toeplitz operators on Bergman spaces of the Siegel upper half-space ⋮ Positive Toeplitz operators on the Bergman spaces of the Siegel upper half-space ⋮ The boundedness of two classes of integral operators ⋮ BMO and Hankel operators on Bergman space of the Siegel upper half-space ⋮ Carleson measures and Toeplitz operators between Bergman spaces on the Siegel upper half-space ⋮ A uniqueness property for Bergman functions on the Siegel upper half-space

Cites Work

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• Sharp Forelli-Rudin estimates and the norm of the Bergman projection
• Integral representations for some classes of functions holomorphic in a Siegel domain
• The corona theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in \(\mathbb C^{n}\)
• A class of integral operators on the unit ball of \({\mathbb C}^{n}\)
• Generalization of Schur's test and its application to a class of integral operators on the unit ball of \(\mathbb C^n\)
• Spaces of Holomorphic Functions in the Unit Ball

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