Reproducing kernels and radial differential operators for holomorphic and harmonic Besov spaces on unit balls: a unified view

DOI10.1007/BF03321777zbMath1213.46026MaRDI QIDQ619441

H. Turgay Kaptanoğlu

Publication date: 25 January 2011

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

spherical harmonicHardy spaceBesov spaceBergman spaceDirichlet spacereproducing kernel Hilbert spaceDrury-Arveson spaceradial differential operator

Mathematics Subject Classification ID

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) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Spherical harmonics (33C55) Kernel operators (47B34)

Related Items

Shift operators on harmonic Hilbert function spaces on real balls and von Neumann inequality ⋮ Aspects of multivariable operator theory on weighted symmetric Fock spaces ⋮ Oscillation of holomorphic Bergman-Besov kernels on the ball

Cites Work

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