Add to ORKGWe present a technique for computing explicit, concrete formulas for the weighted Bergman kernel on a planar domain with modulus squared weight of a meromorphic function in the case that the meromorphic function has a finite number of zeros on the domain and a concrete formula for the unweighted kernel is known. We apply this theory to the study of the Lu Qi-keng problem
Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2...
In Chapter 1 we introduce many of the concepts and techniques, including Nevanlinna theory, referred...
summary:We exhibit a class of bounded, strongly convex Hartogs domains with real-analytic boundary w...
We present a technique for computing explicit, concrete formulas for the weighted Bergman kernel on ...
We present a technique for computing explicit, concrete formulas for the weighted Bergman kernel on ...
AbstractWe show that the Bergman kernel Kα(x,y) on a smoothly bounded strictly pseudoconvex domain w...
AbstractIn this note, we give an improvement on the Bergman kernel for the domain {(w,z)∈Cm×Cn:‖w‖m2...
summary:We investigate the Bergman kernel function for the intersection of two complex ellipsoids $\...
The role of weighted biharmonic Green functions in weighted Bergman spaces was first studied in the ...
In chapter 2 it is proved that the uniform extendibility of the Bergman kernel is equivalent to a gl...
In this paper we revisit the so-called Bergman kernel method (BKM) for solving confor-mal mapping pr...
AbstractWe compute explicitly the Bergman and Szegő kernels for a class of pseudoconvex doma...
Es werden Arbeiten die sich mit dem gewichteten Bergman Kern beschäftigen näher untersucht und mit E...
Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2...
In this paper we consider (1) the weights of integration for which the reproducing kernel of the Ber...
Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2...
In Chapter 1 we introduce many of the concepts and techniques, including Nevanlinna theory, referred...
summary:We exhibit a class of bounded, strongly convex Hartogs domains with real-analytic boundary w...
We present a technique for computing explicit, concrete formulas for the weighted Bergman kernel on ...
We present a technique for computing explicit, concrete formulas for the weighted Bergman kernel on ...
AbstractWe show that the Bergman kernel Kα(x,y) on a smoothly bounded strictly pseudoconvex domain w...
AbstractIn this note, we give an improvement on the Bergman kernel for the domain {(w,z)∈Cm×Cn:‖w‖m2...
summary:We investigate the Bergman kernel function for the intersection of two complex ellipsoids $\...
The role of weighted biharmonic Green functions in weighted Bergman spaces was first studied in the ...
In chapter 2 it is proved that the uniform extendibility of the Bergman kernel is equivalent to a gl...
In this paper we revisit the so-called Bergman kernel method (BKM) for solving confor-mal mapping pr...
AbstractWe compute explicitly the Bergman and Szegő kernels for a class of pseudoconvex doma...
Es werden Arbeiten die sich mit dem gewichteten Bergman Kern beschäftigen näher untersucht und mit E...
Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2...
In this paper we consider (1) the weights of integration for which the reproducing kernel of the Ber...
Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2...
In Chapter 1 we introduce many of the concepts and techniques, including Nevanlinna theory, referred...
summary:We exhibit a class of bounded, strongly convex Hartogs domains with real-analytic boundary w...