The Bergman kernels on super-Cartan domains of the first type

DOI10.1007/BF02903843zbMath0956.32002OpenAlexW1592548962MaRDI QIDQ1974201

Weiping Yin

Publication date: 4 March 2001

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02903843

zbMATH Keywords

automorphism groupsBergman kernelsCartan domainssuper-Cartan domains

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

The equivalence on classical metrics ⋮ Weighted composition operators from \(H^\infty\) to \((\alpha, m)\)-Bloch space on Cartan-Hartogs domain of the first type ⋮ Unnamed Item ⋮ Composition operators from \(p\)-Bloch space to \(q\)-Bloch space on the fourth Cartan-Hartogs domains ⋮ The d-boundedness of the Bergman metric on a kind of Hartogs domain ⋮ A vanishing theorem on a class of Hartogs domain ⋮ On the Kähler hyperbolicity with respect to the Bergman metric on a class of Hartogs domains ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Extremal problems on the Hua domain of the first type ⋮ On the solution of Dirichlet's problem of the complex Monge-Ampère equation for the Cartan-Hartogs domain of the first type ⋮ The Einstein-Kähler metrics on Cartan-Hartogs domain of the first type ⋮ Properties of squeezing functions and global transformations of bounded domains ⋮ Einstein-Kähler metric with explicit formula on super-Cartan domain of the fourth type ⋮ Multiplication operators on weighted Bloch spaces of the first Cartan domains ⋮ Comparison theorem on Cartan-Hartogs domain of the first type ⋮ The Bergman kernel functions on Hua domains

Cites Work

• An explicit computation of the Bergman kernel function
• On reproducing kernels for multicircular domains of holomorphy
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• The Bergman kernel of complex ovals and multivariable hypergeometric functions
• The comparison theorem for the bergman and kobayashi metrics on certain pseudoconvex domains
• The Bergman Kernel Function and Propert Holomorphic Mappings
• The Bergman kernel function: Explicit formulas and zeroes
• A note on the Bergman kernel
• Invariant distances and metrics in complex analysis
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