Embedding and compact embedding of weighted Bergman spaces

DOI10.1215/00192082-10120480OpenAlexW4290998487MaRDI QIDQ2088561

K. H. Zhu

Publication date: 6 October 2022

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/illinois-journal-of-mathematics/volume-66/issue-3/Embedding-and-compact-embedding-of-weighted-Bergman-spaces/10.1215/00192082-10120480.full

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Integral operators (47G10) Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (3)

The boundedness of Forelli-Rudin type operators on the Siegel upper half space ⋮ Schur's test, Bergman-type operators and Gleason's problem on radial-angular mixed spaces ⋮ \(L^{\vec{p}}-L^{\vec{q}}\) boundedness of multiparameter Forelli-Rudin type operators on the product of unit balls of \(\mathbb{C}^n\)

Cites Work

• \(L^p - L^q\) boundedness of Forelli-Rudin type operators on the unit ball of \(\mathbb{C}^n\)
• 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 \(\mathbb C^n\)
• Theory of Bergman Spaces in the Unit Ball of C^n
• Spaces of Holomorphic Functions in the Unit Ball
• Norm estimates for a class of operators related to the Bergman projection
• The hyper-singular cousin of the Bergman projection
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