Cauchy–Riemann meet Monge–Ampère

DOI10.1007/s13373-014-0058-2zbMath1310.32004OpenAlexW2153242485WikidataQ59397781 ScholiaQ59397781MaRDI QIDQ5172858

Zbigniew Błocki

Publication date: 5 February 2015

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13373-014-0058-2

zbMATH Keywords

Bergman kernelMonge-Ampère equationGreen functionBergman distance

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

On Nazarov’s Complex Analytic Approach to the Mahler Conjecture and the Bourgain-Milman Inequality, Parameter dependence of the Bergman kernels, Bergman Kernel in Complex Analysis, Bergman–Toeplitz operators on fat Hartogs triangles, On the Błocki–Zwonek conjectures, Two remarks on the Suita conjecture, A Counterexample to a Conjecture by Błocki–Zwonek, On the Błocki-Zwonek conjectures and beyond, Generalizations of the higher dimensional Suita conjecture and its relation with a problem of Wiegerinck, Generalized Matsushima's theorem and Kähler-Einstein cone metrics, On smoothing properties of the Bergman projection, Weighted-𝐿² polynomial approximation in ℂ, Remarks on the higher dimensional Suita conjecture, Comparison of the Bergman kernel and the Carathéodory–Eisenman volume, On the Moser-Trudinger inequality in complex space, $$L^2$$ L 2 estimates for the $$\bar{\partial }$$ ∂ ¯ operator

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