The explicit forms and zeros of the Bergman kernel for 3-dimensional Hartogs triangles

DOI10.1016/j.jmaa.2017.12.002zbMath1398.32003OpenAlexW2775637488MaRDI QIDQ681797

Jong-Do Park

Publication date: 13 February 2018

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.2017.12.002

zbMATH Keywords

Bergman kernelHartogs triangleLu Qi-Keng problem

Mathematics Subject Classification ID

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

Related Items

-regularity of the Bergman projection on quotient domains ⋮ Balanced metrics and Berezin quantization on Hartogs triangles ⋮ Bergman kernels of elementary Reinhardt domains ⋮ Special Toeplitz operators on \(n\)-dimensional generalized Hartogs triangles ⋮ Unnamed Item ⋮ L^p boundedness for the Bergman projections over n-dimensional generalized Hartogs triangles ⋮ The Bergman kernel function for intersections of some cylindrical domains and Lauricella's hypergeometric function

Cites Work

• Unnamed Item
• Bergman theory of certain generalized Hartogs triangles
• The explicit forms and zeros of the Bergman kernel function for Hartogs type domains
• The Bergman kernel of the minimal ball and applications
• Explicit formulas of the Bergman kernel for 3-dimensional complex ellipsoids
• Bergman kernel function for Hartogs domains over bounded homogeneous domains
• The Bergman projection on fat Hartogs triangles: $L^p$ boundedness
• New formulas of the Bergman kernels for complex ellipsoids in $\mathbb {C}^2$
• The Bergman Kernel Function and Propert Holomorphic Mappings
• The Bergman kernel function: Explicit formulas and zeroes
• The Bergman kernel of the Fock–Bargmann–Hartogs domain and the polylogarithm function