Sobolev regularity of the Bergman projection on certain pseudoconvex domains
type: Item
instance of: scholarly article
title: Sobolev regularity of the Bergman projection on certain pseudoconvex domains
zbMATH Open document ID: 1430.32015
author: Sayed Saber
published in: Transactions of A. Razmadze Mathematical Institute
publication date: 2019-11-27T00:00:00Z
Mathematics Subject Classification ID: 32W05
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 32T99
Mathematics Subject Classification ID: 32Q15
zbMATH DE Number: 7137781
zbMATH Keywords: \(\overline{\partial}\)-Neumann operator
zbMATH Keywords: Bergman projection
zbMATH Keywords: Kähler manifold
zbMATH Keywords: pseudoconvex domain
MaRDI profile type: Publication
full work available at URL: j.trmi.2016.10.004
OpenAlex ID: W2556840189
cites work: A Sobolev mapping property of the Bergman kernel
cites work: Equivalence of regularity for the Bergman projection and the \({\bar \partial}\)-Neumann operator
cites work: Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
cites work: On compact, locally symmetric Kähler manifolds
cites work: Estimates for the \(\bar\partial\)-Neumann problem and nonexistence of \(C^2\) Levi-flat hypersurfaces in \(\mathbb{C} P^n\)
cites work: The \(\bar\partial\)-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in \(\mathbb{C}P^n\) with \(n \geq 3\)
cites work: Q4520911
cites work: Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
cites work: Classes de Bergman de fonctions harmoniques
cites work: Pseudoconvexité locale dans les variétés kähleriennes
cites work: The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
cites work: Q3470840
cites work: A quantitative analysis of Oka's lemma
cites work: \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
cites work: The inhomogeneous Dirichlet problem in Lipschitz domains
cites work: Q4263090
cites work: SOLUTION TO $\overline{\partial}$ PROBLEM WITH EXACT SUPPORT AND REGULARITY FOR THE $\overline{\partial}$-NEUMANN OPERATOR ON WEAKLY q-CONVEX DOMAINS
cites work: Q4747057
cites work: Pseudoconvex domains on a Kähler manifold with positive holomorphic bisectional curvature
cites work: Domaines pseudoconvexes infinis et la métrique riemannienne dans un espace projectif
DOI: 10.1016/J.TRMI.2016.10.004
description: scientific article; zbMATH DE number 7137781