Sobolev Regularity for the Bergman Projection on Relatively Compact Domains in Hermitian manifolds
Complex Variables
2024-10-17 v1
Abstract
Generalizing a result of Berndtsson and Charpentier, we provide sufficient conditions for Sobolev regularity of the Bergman projection acting on sections of a holomorphic line bundle restricted to a relatively compact domain with Lipschitz boundary in a Hermitian manifold. We provide examples to show that our methods work for domains in Hopf manifolds endowed with a suitable Hermitian metric.
Keywords
Cite
@article{arxiv.2410.12715,
title = {Sobolev Regularity for the Bergman Projection on Relatively Compact Domains in Hermitian manifolds},
author = {Phillip S. Harrington},
journal= {arXiv preprint arXiv:2410.12715},
year = {2024}
}