Sobolev regularity of the Bergman projection on certain pseudoconvex domains
From MaRDI portal
Publication:2010661
DOI10.1016/j.trmi.2016.10.004zbMath1430.32015OpenAlexW2556840189MaRDI QIDQ2010661
Publication date: 27 November 2019
Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.trmi.2016.10.004
Kähler manifolds (32Q15) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On compact, locally symmetric Kähler manifolds
- A quantitative analysis of Oka's lemma
- The \(\bar\partial\)-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in \(\mathbb{C}P^n\) with \(n \geq 3\)
- Equivalence of regularity for the Bergman projection and the \({\bar \partial}\)-Neumann operator
- Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
- Pseudoconvex domains on a Kähler manifold with positive holomorphic bisectional curvature
- Pseudoconvexité locale dans les variétés kähleriennes
- A Sobolev mapping property of the Bergman kernel
- Estimates for the \(\bar\partial\)-Neumann problem and nonexistence of \(C^2\) Levi-flat hypersurfaces in \(\mathbb{C} P^n\)
- The inhomogeneous Dirichlet problem in Lipschitz domains
- Domaines pseudoconvexes infinis et la métrique riemannienne dans un espace projectif
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Classes de Bergman de fonctions harmoniques
- Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
- SOLUTION TO $\overline{\partial}$ PROBLEM WITH EXACT SUPPORT AND REGULARITY FOR THE $\overline{\partial}$-NEUMANN OPERATOR ON WEAKLY q-CONVEX DOMAINS
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
