Singular integral operators with Bergman-Besov kernels on the ball

DOI10.1007/s00020-019-2528-0OpenAlexW2952783956WikidataQ127668009 ScholiaQ127668009MaRDI QIDQ2318105

H. Turgay Kaptanoğlu, Adem Ersin Üreyen

Publication date: 13 August 2019

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-019-2528-0

zbMATH Keywords

integral operatorSchur testinclusion relationBergman-Besov kernelBergman-Besov projectionBergman-Besov spaceBloch-Lipschitz spaceForelli-Rudin estimateradial fractional derivative

Mathematics Subject Classification ID

Integral operators (45P05) Integral operators (47G10) Bergman spaces of functions in several complex variables (32A36) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Kernel operators (47B34) Singular integrals of functions in several complex variables (32A55) Bergman spaces and Fock spaces (30H20) Besov spaces and (Q_p)-spaces (30H25)

Related Items

Schatten class Bergman-type and Szegö-type operators on bounded symmetric domains ⋮ The \(L^p\)-\(L^q\) boundedness and compactness of Bergman type operators ⋮ The boundedness of Forelli-Rudin type operators on the Siegel upper half space ⋮ The \(L^p-L^q\) boundedness and compactness of Fock projections ⋮ The Gleason's problem on normal weight general function spaces in the unit ball of \(\mathbb{C}^n\) ⋮ Weighted estimates for operators associated to the Bergman-Besov kernels ⋮ Compact Bergman type operators ⋮ \(L^{\vec{p}}-L^{\vec{q}}\) boundedness of multiparameter Forelli-Rudin type operators on the product of unit balls of \(\mathbb{C}^n\) ⋮ A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces ⋮ Integral criteria for weighted Bloch functions

Uses Software

• DLMF

Cites Work

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