Boundary behavior of the Bergman kernel for generalized Fock-Bargmann-Hartogs domains

DOI10.1016/j.jmaa.2021.125909zbMath1495.32010OpenAlexW4200299005MaRDI QIDQ2069764

Jong-Do Park

Publication date: 21 January 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125909

zbMATH Keywords

Mittag-Leffler functionBergman kernelboundary behaviorgeneralized Fock spacegeneralized Fock-Bargmann-Hartogs domains

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Distribution of roots of Mittag-Leffler functions
• The explicit forms and zeros of the Bergman kernel function for Hartogs type domains
• The Bergman kernel on some Hartogs domains
• Bergman-type projections in generalized Fock spaces
• The Bergman kernel of the symmetrized polydisc in higher dimensions has zeros
• The Bergman kernel of the minimal ball and applications
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Exponential asymptotics of the Mittag-Leffler function
• Explicit formulas of the Bergman kernel for 3-dimensional complex ellipsoids
• A localization principle for biholomorphic mappings between the Fock-Bargmann-Hartogs domains
• Bergman kernel function for Hartogs domains over bounded homogeneous domains
• The Bergman kernel function for intersections of some cylindrical domains and Lauricella's hypergeometric function
• On the Fock kernel for the generalized Fock space and generalized hypergeometric series
• The automorphism group of a certain unbounded non-hyperbolic domain
• Sarason's Toeplitz product problem for a class of Fock spaces
• New classes of domains with explicit Bergman kernel
• Lu Qi-Keng's problem on some complex ellipsoids
• Hankel operators on weighted Fock spaces
• New formulas of the Bergman kernels for complex ellipsoids in $\mathbb {C}^2$
• On the Forelli-Rudin construction and weighted Bergman projections
• REGULARITY OF THE WEIGHTED BERGMAN PROJECTION ON THE FOCK–BARGMANN–HARTOGS DOMAIN
• The Bergman kernel of the Fock–Bargmann–Hartogs domain and the polylogarithm function
• Mittag-Leffler Functions, Related Topics and Applications