Reproducing kernels of some weighted Bergman spaces

DOI10.1007/s12220-021-00616-1zbMath1477.32005arXiv2009.02989OpenAlexW3131824212MaRDI QIDQ1979201

Tao Qian, Yun Huang, Guan Tie Deng

Publication date: 2 September 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02989

zbMATH Keywords

weighted Bergman spacesreproducing kernelreproducing kernel Hilbert space

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Toeplitz operators on weighted Bergman spaces on finitely connected domains ⋮ Boundedness of weighted Bergman projection with several complex variables

Cites Work

• The Bergman kernel function: Explicit formulas and zeroes
• Geometric Analysis of the Bergman Kernel and Metric
• Boundedness of Bergman projections on tube domains over light cones
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item