Add to ORKGConsider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2m_j}<1 \}$, where $m=(m_1,\ldots,m_n) \in \Natl^n$ and $m_n \eq 1$. Let $z^0 \in \partial \ellip$ be any weakly pseudoconvex point, $k \in \Natl$ the degenerate rank of the Levi form at $z^0$. An explicit formula for $K^B(z)$ modulo analytic functions is given in terms of the polar coordinates $(t_1, \ldots, t_k, r)$ around $z^0$. This formula provides detailed information about the singularities of $K^B(z)$, which improves the result of A. Bonami and N. Lohoue \cite{bol}. A similar result is established also for the Szego kernel $K^S(z)$ of $\ellip$
AbstractFor a smoothly bounded strictly pseudoconvex domain, we describe the boundary singularity of...
Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)<∞ where z0∈bΩ, the b...
We consider and solve extremal problems in various bounded weakly pseudoconvex domains in ℂ ...
Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2...
The study on the Bergman kernel has a long history and contains enormous works. Especially, the regu...
AbstractWe compute explicitly the Bergman and Szegő kernels for a class of pseudoconvex doma...
AbstractLet Ω be a smoothly bounded pseudoconvex domain in Cn and let z0∈bΩ be a point of finite typ...
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...
summary:We investigate the Bergman kernel function for the intersection of two complex ellipsoids $\...
In chapter 2 it is proved that the uniform extendibility of the Bergman kernel is equivalent to a gl...
AbstractWe show that the Bergman kernel Kα(x,y) on a smoothly bounded strictly pseudoconvex domain w...
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\...
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\...
AbstractFor a smoothly bounded strictly pseudoconvex domain, we describe the boundary singularity of...
Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)<∞ where z0∈bΩ, the b...
We consider and solve extremal problems in various bounded weakly pseudoconvex domains in ℂ ...
Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2...
The study on the Bergman kernel has a long history and contains enormous works. Especially, the regu...
AbstractWe compute explicitly the Bergman and Szegő kernels for a class of pseudoconvex doma...
AbstractLet Ω be a smoothly bounded pseudoconvex domain in Cn and let z0∈bΩ be a point of finite typ...
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...
summary:We investigate the Bergman kernel function for the intersection of two complex ellipsoids $\...
In chapter 2 it is proved that the uniform extendibility of the Bergman kernel is equivalent to a gl...
AbstractWe show that the Bergman kernel Kα(x,y) on a smoothly bounded strictly pseudoconvex domain w...
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\...
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\...
AbstractFor a smoothly bounded strictly pseudoconvex domain, we describe the boundary singularity of...
Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)<∞ where z0∈bΩ, the b...
We consider and solve extremal problems in various bounded weakly pseudoconvex domains in ℂ ...