Sobolev regularity of the Bergman projection on certain pseudoconvex domains

In this paper we study the Sobolev regularity of the Bergman projection B and the ∂¯-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-pseudoconv...

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Bibliographic Details
Main Author: Sayed Saber
Format: Article
Language:English
Published: Elsevier 2017-04-01
Series:Transactions of A. Razmadze Mathematical Institute
Online Access:http://www.sciencedirect.com/science/article/pii/S2346809216300071