Bergman Kernel in Complex Analysis

Łukasz Kosiński () and Włodzimierz Zwonek ()
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Łukasz Kosiński: Jagiellonian University, Faculty of Mathematics and Computer Science, Department of Mathematics
Włodzimierz Zwonek: Jagiellonian University, Faculty of Mathematics and Computer Science, Department of Mathematics

Chapter 4 in Operator Theory, 2026, pp 75-89 from Springer

Abstract: Abstract In this survey a brief review of results on the Bergman kernelBergman kernel and Bergman distance concentrating on those fields of complex analysis which remain in the focus of the research interest of the authors is presented. The topics discussed contain general discussion of ℒ h 2 $$\mathcal L_{\mathrm {h}}^2$$ spaces, behavior of the Bergman distance, regularity of extension of proper holomorphic mappings, and recent development in the theory of Bergman distance stemming from the pluripotential theory and very short discussion of the Lu Qi Keng problem.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-16356-1_68

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DOI: 10.1007/978-3-032-16356-1_68

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