Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900442 | Transactions of A. Razmadze Mathematical Institute | 2017 | 13 Pages |
Abstract
In this paper we study the Sobolev regularity of the Bergman projection B and the â¯-Neumann operator N on a certain pseudoconvex domain. We show that if Ω is a domain with Lipschitz boundary, which is relatively compact in an n-dimensional compact Kähler manifold and satisfies some “logδ-pseudoconvexity” condition, the operators B, N and â¯âN are regular in the Sobolev spaces Wr,sk(Ω,E) for forms with values in a holomorphic vector bundle E and for any k<η/2, 0<η<1, 0â¤râ¤n, 0â¤sâ¤nâ1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Sayed Saber,