Mapping problems in complex analysis and the \overline∂-problem
From MaRDI portal
Publication:3480371
DOI10.1090/S0273-0979-1990-15879-3zbMath0702.32024OpenAlexW1976794199MaRDI QIDQ3480371
Publication date: 1990
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0273-0979-1990-15879-3
potential theoryBergman kernelbiholomorphic mappingsproper holomorphic mappingsCauchy-Riemann equations
Holomorphic mappings and correspondences (32H99) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Proper holomorphic mappings, finiteness theorems (32H35) Generalizations of potential theory (31C99) Entire and meromorphic functions of one complex variable, and related topics (30D99)
Related Items
Projective geometry and Riemann's mapping problem ⋮ Exploring the Limits of Controlled Markovian Quantum Dynamics with Thermal Resources ⋮ MICROLOCAL REGULARITY FOR MIZOHATA TYPE DIFFERENTIAL OPERATORS ⋮ Rigidity and regularity in group actions ⋮ The Riemann mapping non-theorem ⋮ Complex Monge-Ampère equation for measures supported on real submanifolds ⋮ Global Mizohata structures ⋮ The Kobayashi metric in the normal direction and the mapping problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Smoothness to the boundary of conformal maps
- Necessary conditions for subellipticity of the \({\bar\partial}\)-Neumann problem
- Irregularity of the Bergman projection on a smooth bounded domain in \({\mathbb{C}}^ 2\)
- An approximate Riemann mapping theorem in \({\mathbb{C}}^ n\)
- On the analyticity of CR mappings
- Boundary invariants of pseudoconvex domains
- Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
- Germs of CR maps between real analytic hypersurfaces
- Proper holomorphic mappings between real-analytic pseudoconvex domains in \({\mathbb{C}}^ n\)
- Biholomorphic mappings and the \(\overline\partial\)-problem
- Analytic hypoellipticity of the (partial-d-bar)-Neumann problem and extendability of holomorphic mappings
- Real hypersurfaces, orders of contact, and applications
- Real hypersurfaces in complex manifolds
- Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
- Characterization of the unit ball in \(\mathbb{C}^n\) by its automorphism group
- Biholomorphic mappings and the Bergman kernel off the diagonal
- Sur une caractérisation de la boule parmi les domaines de \(\mathbb{C}^n\) par son groupe d'automorphismes
- A simplification and extension of Fefferman's theorem on biholomorphic mappings
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- Harmonic integrals on strongly pseudo-convex manifolds. I
- Harmonic integrals on strongly pseudo-convex manifolds. II
- On the Reflection Principle in Several Complex Variables
- Proper holomorphic mappings
- Local boundary regularity of holomorphic mappings
- Injective Holomorphic Mappings
- Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
- Boundary regularity of proper holomorphic mappings
