Bergman projections on Besov spaces on balls

zbMath1079.32004MaRDI QIDQ2567507

H. Turgay Kaptanoğlu

Publication date: 5 October 2005

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

zbMATH Keywords

dualityBloch spaceBesov spacesDirichlet spacecomplex interpolationhomogeneous expansionGleason problemLebesgue classesArveson spaceHardy space \(H^2\)extended Bergman projectionsradial differential operators

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20) 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)

Related Items (17)

Besov spaces and Carleson measures on the ball ⋮ Oscillation of holomorphic Bergman-Besov kernels on the ball ⋮ Bergman type operator on spaces of holomorphic functions in the unit ball of \(\mathbb{C}^n\) ⋮ An estimate of the oscillation of harmonic reproducing kernels with applications ⋮ Forelli-Rudin type operators on the space \(L^{p,q,s}(B)\) and some applications ⋮ Reproducing kernels and radial differential operators for holomorphic and harmonic Besov spaces on unit balls: a unified view ⋮ Weighted estimates for operators associated to the Bergman-Besov kernels ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Norm of the Bergman projection onto the Bloch space with M-invariant gradient norm ⋮ Carleson measures for Besov spaces on the ball with applications ⋮ Toeplitz operators with BMO symbols on holomorphic Besov spaces ⋮ Closures of Bergman-Besov spaces in the weighted Bloch spaces on the unit ball ⋮ Generalized Forelli-Rudin type operators between several function spaces on the unit ball of ℂn ⋮ Weighted harmonic Bloch spaces on the ball ⋮ Harmonic Besov spaces on the ball ⋮ Singular integral operators with Bergman-Besov kernels on the ball

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