Add to ORKGIn this article, we consider Bergman kernels with respect to modules at boundary points, and obtain a log-subharmonicity property of the Bergman kernels, which deduces a concavity property related to the Bergman kernels. As applications, we reprove the sharp effectiveness result related to a conjecture posed by Jonsson-Must\c{a}t\u{a} and the effectiveness result of strong openness property of the modules at boundary points.Comment: 24 Pages, some typos are correcte
AbstractWe correct the proof of Theorem 8 in “Normality and countable paracompactness of hyperspaces...
In this paper, we introduce a new class H_{T}(f,g;\alpha ,k) of analytic functions in the open unit ...
AbstractWe give three equivalent conditions for weak convergence of almost orbits of an asymptotical...
In this paper we introduce new spaces of holomorphic functions on the pointed unit disc of $\mathbb ...
summary:We investigate the Bergman kernel function for the intersection of two complex ellipsoids $\...
summary:We investigate the Bergman kernel function for the intersection of two complex ellipsoids $\...
AbstractSince the work of Roper and Suffridge in 1995, there has been considerable interest in const...
AbstractThe domain D(δ2) of the square of a closed ∗-derivation δ in C(K) (K is a compact Hausdorff ...
In \cite[section 5]{Bern15b}, Berndtsson proposed a conjectural picture for strong openness using th...
In this paper we present a simple proof of Gowers Dichotomy which states that every infinite dimensi...
In this paper we present a simple proof of Gowers Dichotomy which states that every infinite dimensi...
AbstractProperty (w) holds for T∈B(X) precisely when σa(T)∖σea(T)=π00(T). By comparison property (b)...
summary:We study sub-Bergman Hilbert spaces in the weighted Bergman space $A^2_\alpha $. We generali...
summary:We study sub-Bergman Hilbert spaces in the weighted Bergman space $A^2_\alpha $. We generali...
AbstractWhen A∈B(H) and B∈B(K) are given, we denote by MC the operator acting on the Hilbert space H...
AbstractWe correct the proof of Theorem 8 in “Normality and countable paracompactness of hyperspaces...
In this paper, we introduce a new class H_{T}(f,g;\alpha ,k) of analytic functions in the open unit ...
AbstractWe give three equivalent conditions for weak convergence of almost orbits of an asymptotical...
In this paper we introduce new spaces of holomorphic functions on the pointed unit disc of $\mathbb ...
summary:We investigate the Bergman kernel function for the intersection of two complex ellipsoids $\...
summary:We investigate the Bergman kernel function for the intersection of two complex ellipsoids $\...
AbstractSince the work of Roper and Suffridge in 1995, there has been considerable interest in const...
AbstractThe domain D(δ2) of the square of a closed ∗-derivation δ in C(K) (K is a compact Hausdorff ...
In \cite[section 5]{Bern15b}, Berndtsson proposed a conjectural picture for strong openness using th...
In this paper we present a simple proof of Gowers Dichotomy which states that every infinite dimensi...
In this paper we present a simple proof of Gowers Dichotomy which states that every infinite dimensi...
AbstractProperty (w) holds for T∈B(X) precisely when σa(T)∖σea(T)=π00(T). By comparison property (b)...
summary:We study sub-Bergman Hilbert spaces in the weighted Bergman space $A^2_\alpha $. We generali...
summary:We study sub-Bergman Hilbert spaces in the weighted Bergman space $A^2_\alpha $. We generali...
AbstractWhen A∈B(H) and B∈B(K) are given, we denote by MC the operator acting on the Hilbert space H...
AbstractWe correct the proof of Theorem 8 in “Normality and countable paracompactness of hyperspaces...
In this paper, we introduce a new class H_{T}(f,g;\alpha ,k) of analytic functions in the open unit ...
AbstractWe give three equivalent conditions for weak convergence of almost orbits of an asymptotical...