Results 81 to 90 of about 1,452 (203)
A representation for the reproducing kernel of a weighted Bergman space
, 2023 For a weight function in the unit disk which is the modulus of a finite product of powers of Blaschke factors, we give a canonical representation for the reproducing kernel of the corresponding weighted Bergman space in terms of the values of the kernel ...
Miña-Díaz, Erwin
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The Bergman kernel on forms: General theory
Proceedings of the American Mathematical Society, 2018 The goal of this paper is to explore the Bergman projection on forms. In particular, we show that some of most basic facts used to construct the Bergman kernel on functions, such as pointwise evaluation in
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, 2015 . In this note, we point out that a large family of n × n matrix valued kernel functions defined on the unit disc D ⊆ C, which were constructed recently in [9], behave like the familiar Bergman kernel function on D in several different ways. We show that
Gadadhar Misra
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Bergman kernel and projection on the unbounded Diederich-Fornæss worm domain [PDF]
, 2016 In this paper we study the Bergman kernel and projection on the unbounded worm domain W1 = n (z1,z2) 2 C2 : z1 ei log |z2| 2 2 < 1 for z2 6= 0 o . We first show that the Bergman space of W1 is infinite dimensional.
Stoppato, Caterina +3 more
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Bergman kernel functions for planar domains and conformal equivalence of domains
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2008 The Bergman kernels of multiply connected domains are related with proper holomorphic maps onto the unit disc. We study multiply connected planar domains and represent conformal equivalence of the Bell representative domains with annuli or any doubly ...
Moonja Jeong
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Bergman Kernel in several complex variables
, 2017 Diese Arbeit ist eine Einführung in die Theorie des Bergman Kerns. Die reproduzierende Funktion einiger Gebiete sowie der Bergman Kern des Fock Raums werden explizit berechnet. Das letzte Kapitel ist den Zusammenhang zwischen dem Bergman Kern und dem d-
Hadded, Zouhair
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, 2019 We study the asymptotic boundary behavior of the Bergman kernel function on the diagonal, the Bergman metric, holomorphic sectional and bisectional curvatures of the Bergman metric in bounded pseudoconvex domains near the exponentially-flat infinite type
Kim, KT, Lee, S
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Bergman kernels and subadjunction
, 2010 In this article our main result is a more complete version of the statements obtained in {\rm [6]}. One of the important technical point of our proof is an $\displaystyle L^{2\over m}$ extension theorem of Ohsawa-Takegoshi type, which is derived from the original result by a simple fixed point method.
Berndtsson, Bo, Păun, Mihai
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Numerical conformal mapping for symmetric regions via the Bergman kernel
, 1995 The Bergman kernel functions is known to satisfy a certain boundary integral equation of the second kind. For boundaries that possess some symmetry, it is shown how to transform the integral equation into another integral equation that uses only a small ...
Murid, Ali H.M. +2 more
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On the Bergman kernel in weighted monogenic Bargmann-Fock spaces
, 2023 In this paper, we study the Bergman kernel $B_\varphi(x,y)$ of generalized Bargmann-Fock spaces in the setting of Clifford algebra. The versions of $L^2$-estimate method and weighted subharmonic inequality for Clifford algebra are established ...
Mai, Weixiong, Shao, Guokuan
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