The weighted Bergman kernel and the Green's function

DOI10.1007/s11785-016-0593-9zbMath1361.30096arXiv1512.08927OpenAlexW2963462398WikidataQ59609869 ScholiaQ59609869MaRDI QIDQ513406

Paweł M. Wójcicki, Steven G. Krantz

Publication date: 6 March 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.08927

zbMATH Keywords

Green's functionharmonic functionsweighted Bergman kernel

Mathematics Subject Classification ID

Bergman spaces and Fock spaces (30H20)

Related Items (3)

Reproducing kernels: harmonic analysis and some of their applications ⋮ Lipschitz continuity for weighted harmonic functions in the unit disc ⋮ On a weighted harmonic Green function and a theorem of Littlewood

Cites Work

• Weighted Bergman kernel function; admissible weights and the Ramadanov theorem
• Toeplitz operators and weighted Bergman kernels
• On reproducing kernels and quantization of states
• On the dependence of the reproducing kernel on the weight of integration
• On weights which admit the reproducing kernel of Bergman type
• Über die Existenz der Greenschen Funktionen auf einer gegebenen Riemannschen Fläche
• Weighted Bergman kernels and quantization
• A partial differential equation arising in conformal mapping
• Geometric Analysis of the Bergman Kernel and Metric
• Invariant distances and metrics in complex analysis
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