Boundary behaviour of the span metric and its higher-order curvatures

DOI10.1007/s40627-022-00106-2zbMath1504.30057arXiv2011.15022OpenAlexW3109420881WikidataQ113897665 ScholiaQ113897665MaRDI QIDQ2086428

Amar Deep Sarkar

Publication date: 25 October 2022

Published in: Complex Analysis and its Synergies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.15022

zbMATH Keywords

reproducing kernelDirichlet spacespan metrichigher-order curvaturesreduced Bergman kernel

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (1)

The reduced Bergman kernel and its properties

Cites Work

• The geometry of complex domains
• A conformally invariant metric on Riemann surfaces associated with integrable holomorphic quadratic differentials
• The higher order curvatures of weighted span metrics on Riemann surfaces
• The sub-mean-value property of subharmonic functions and its application to the estimation of the Gaussian curvature of the span metric
• Analytic functions with finite Dirichlet integrals on Riemann surfaces
• Comments on the Green's function of a planar domain
• Boundary behaviour of some conformal invariants on planar domains
• Capacities and kernels on Riemann surfaces
• On existence theorems of potential theory and conformal mapping
• Confromal invariants and function-theoretic null-sets
• Capacities and Spans on Riemann Surfaces
• Über ein numerisches Verfahren zur konformen Abbildung zweifach zusammenhängender Gebiete
• The Lu Qi-Keng conjecture fails generically
• A Procedure for Conformal Mapping of Triply-Connected Domains
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