Weighted reproducing kernels and Toeplitz operators on harmonic Bergman spaces on the real ball

DOI10.1090/S0002-9939-08-09384-2zbMath1138.47025OpenAlexW2007141139MaRDI QIDQ3508073

Renata Otáhalová

Publication date: 27 June 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09384-2

zbMATH Keywords

reproducing kernelToeplitz operatorsharmonic Bergman space

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Spherical harmonics (33C55) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (2)

On asymptotic expansion of the harmonic Berezin transform on the half-space ⋮ Berezin transform of two arguments

Cites Work

• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• Reproducing kernels for harmonic Bergman spaces of the unit ball
• Harmonic Bergman functions on the unit ball in \(\mathbb R^n\)
• Harmonic Function Theory
• A “deformation estimate" for the Toeplitz operators on harmonic Bergman spaces
• Theory of Reproducing Kernels
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