On the growth of the Bergman metric near a point of infinite type

DOI10.1007/S12220-019-00342-9zbMath1436.32019arXiv1904.02584OpenAlexW2925508905WikidataQ126385063 ScholiaQ126385063MaRDI QIDQ1985308

Gautam Bharali

Publication date: 7 April 2020

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

Full work available at URL: https://arxiv.org/abs/1904.02584

zbMATH Keywords

Bergman kernelBergman metricinfinite typeoptimal estimatesBergman-Fuchs formulas

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Complex manifolds as subdomains of Euclidean space (32Q35)

Cites Work

• Unnamed Item
• Behavior of the Bergman kernel at infinity
• Boundary behavior of the Bergman kernel function on pseudoconvex domains
• The Bergman kernel on uniformly extendable pseudoconvex domains
• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
• Bergman and Hardy spaces on model domains
• Boundary limits of the Bergman kernel and metric
• On the Bergman invariant and curvatures of the Bergman metric
• On the growth of the Bergman kernel near an infinite-type point
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• Asymptotic behavior of the Bergman kernel and associated invariants in certain inænite type pseudoconvex domains
• Estimates for the Bergman and Szegö kernels in certain weakly pseudoconvex domains
• ASYMPTOTIC EXPANSION OF THE BERGMAN KERNEL FOR TUBE DOMAIN OF INFINITE TYPE

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