Optimal $L^2$ extension of sections from subvarieties in weakly pseudoconvex manifolds

Abstract

In this paper, we obtain optimal $L^2$ extension of holomorphic sections of a holomorphic vector bundle from subvarieties in weakly pseudoconvex Kähler manifolds. Moreover, in the case of line bundle the Hermitian metric is allowed to be singular.

References in corpus (1)

• Optimal constant in an L^2 extension problem and a proof of a conjecture of Ohsawa

Cited by in corpus (1)

• Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain V--fibrations over open Riemann surfaces