Transformation formula for the reduced Bergman kernel and its application

DOI10.1007/s10476-022-0136-8OpenAlexW3170466166WikidataQ113904554 ScholiaQ113904554MaRDI QIDQ2678410

Amar Deep Sarkar, Sahil Gehlawat, A. Jain

Publication date: 23 January 2023

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.07295

zbMATH Keywords

Bergman spaceBergman kerneltransformation formulareduced Bergman kernelreduced Bergman space

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Bergman spaces and Fock spaces (30H20)

Related Items (1)

The reduced Bergman kernel and its properties

Cites Work

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• The sub-mean-value property of subharmonic functions and its application to the estimation of the Gaussian curvature of the span metric
• Proper holomorphic mappings and the Bergman projection
• Proper Holomorphic Mappings that must be Rational
• A tale of three kernels
• The Bergman Kernel Function and Propert Holomorphic Mappings

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