21 citations · 29 across the 4 of their papers we have counts for
4 papers
An extension problem for convex functions
Bo Berndtsson
We give a statement on extension with estimates of convex functions defined on a linear subspace, inspired by similar extension results concerning metrics on positive line bundles
A Bergman kernel proof of the Kawamata subadjunction theorem
Bo Berndtsson, Mihai Paun
The main purpose of the following article is to give a proof of Y. Kawamata's celebrated subadjunction theorem in the spirit of our previous work on Bergman kernels. We will use tw…
Curvature of vector bundles and subharmonicity of Bergman kernels
Bo Berndtsson
In a previous paper, \cite{Berndtsson}, we have studied a property of subharmonic dependence on a parameter of Bergman kernels for a family of weighted -spaces of holomorphic…
Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
Bo Berndtsson
Let be a pseudoconvex domain in $\C^k_t\times\Cn_z$ and let be a plurisubharmonic function in . For each we consider the -dimensional slice of , $D_t=\{z; (t,z…