The Bergman kernel function of some Reinhardt domains

DOI10.1090/S0002-9947-96-01526-7zbMath0865.32017OpenAlexW1491614030MaRDI QIDQ4889982

Sheng Gong, Xue'an Zheng

Publication date: 11 August 1996

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01526-7

zbMATH Keywords

Bergman kernel functionReinhardt domainsegg domains

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Unnamed Item ⋮ The explicit forms and zeros of the Bergman kernel function for Hartogs type domains ⋮ Boundary behavior of the Bergman metric ⋮ The Bergman kernels on Cartan-Hartogs domains ⋮ New formulas of the Bergman kernels for complex ellipsoids in $\mathbb {C}^2$ ⋮ Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in \(\mathbb{C}^2\) ⋮ Two variations of Boas-Fu-Straube's deflation identity ⋮ The Bergman kernel function of some Reinhardt domains. II

Cites Work

• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
• An explicit computation of the Bergman kernel function
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• A note on the Bergman kernel
• Unnamed Item
• Unnamed Item

This page was built for publication: The Bergman kernel function of some Reinhardt domains