Add to ORKGThe study on the Bergman kernel has a long history and contains enormous works. Especially, the regularity of the Bergman kernel has investigated by many people. Let $\Omega=\{z;f(z,\overline{z})<0\}\subset\subset \mathbb{C}^{n} $ be a strictly pseudoconvex bounded domain with $C^{\infty} $ (resp. analytic) boundary: that is, $f $ is a $C^{\infty} $ (resp. analytic) function satisfying that $df\neq 0 $ a
AbstractWe compute explicitly the Bergman and Szegő kernels for a class of pseudoconvex doma...
Abstract. We study the asymptotic boundary behavior of the Bergman ker-nel function on the diagonal,...
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\...
We consider singularities of the Bergman kernel at corner point for a two-dimensional tube pseudocon...
We consider singularities of the Bergman kernel at corner point for a two-dimensional tube pseudocon...
kernel for a two-dimensional pseudoconvex tube domain with corners By Susumu Yamazaki Dedicated to P...
In the function theory of several complex variables, it is a very important thema to understand the ...
Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)<∞ where z0∈bΩ, the b...
The local boundary regularity problem of the Bergman projection and kernel function is studied for s...
AbstractLet Ω be a smoothly bounded pseudoconvex domain in Cn and let z0∈bΩ be a point of finite typ...
Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2...
Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2...
In this article, we present an explicit description of the boundary behavior of the holomorphic curv...
Let D⊂ℂn be a bounded, strongly Levi-pseudoconvex domain with minimally smooth boundary. We prove Lp...
Let D⊂ℂn be a bounded, strongly Levi-pseudoconvex domain with minimally smooth boundary. We prove Lp...
AbstractWe compute explicitly the Bergman and Szegő kernels for a class of pseudoconvex doma...
Abstract. We study the asymptotic boundary behavior of the Bergman ker-nel function on the diagonal,...
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\...
We consider singularities of the Bergman kernel at corner point for a two-dimensional tube pseudocon...
We consider singularities of the Bergman kernel at corner point for a two-dimensional tube pseudocon...
kernel for a two-dimensional pseudoconvex tube domain with corners By Susumu Yamazaki Dedicated to P...
In the function theory of several complex variables, it is a very important thema to understand the ...
Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)<∞ where z0∈bΩ, the b...
The local boundary regularity problem of the Bergman projection and kernel function is studied for s...
AbstractLet Ω be a smoothly bounded pseudoconvex domain in Cn and let z0∈bΩ be a point of finite typ...
Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2...
Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2...
In this article, we present an explicit description of the boundary behavior of the holomorphic curv...
Let D⊂ℂn be a bounded, strongly Levi-pseudoconvex domain with minimally smooth boundary. We prove Lp...
Let D⊂ℂn be a bounded, strongly Levi-pseudoconvex domain with minimally smooth boundary. We prove Lp...
AbstractWe compute explicitly the Bergman and Szegő kernels for a class of pseudoconvex doma...
Abstract. We study the asymptotic boundary behavior of the Bergman ker-nel function on the diagonal,...
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\...