\(L^p - L^q\) boundedness of Forelli-Rudin type operators on the unit ball of \(\mathbb{C}^n\)

DOI10.1016/j.jfa.2021.109345OpenAlexW4200573025MaRDI QIDQ2067053

Ruhan Zhao, Lifang Zhou

Publication date: 17 January 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2021.109345

zbMATH Keywords

Bergman projectionBerezin transform\( L^p- L^q\) boundednessForelli-Rudin type operators

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Integral operators (47G10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Kernel operators (47B34)

Related Items

Forelli-Rudin type operators on the space \(L^{p,q,s}(B)\) and some applications ⋮ The boundedness of Forelli-Rudin type operators on the Siegel upper half space ⋮ Two weight inequality for Hankel form on weighted Bergman spaces induced by doubling weights ⋮ The \(L^p-L^q\) boundedness and compactness of Fock projections ⋮ \(L^p\) boundedness of Forelli-Rudin type operators on the Hartogs triangle ⋮ On Berezin type operators and Toeplitz operators on Bergman spaces ⋮ The Gleason's problem on normal weight general function spaces in the unit ball of \(\mathbb{C}^n\) ⋮ 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 \(\mathbb{C}^n\) ⋮ Embedding and compact embedding of weighted Bergman spaces ⋮ Weighted estimates for Forelli-Rudin type operators on the Hartogs triangle

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