Boundary regularity of proper holomorphic mappings
From MaRDI portal
Publication:5905323
DOI10.1007/BF01398927zbMath0501.32010OpenAlexW1979939069MaRDI QIDQ5905323
John-Erik Fornaess, Klas Diederich
Publication date: 1982
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142917
Continuation of analytic objects in several complex variables (32D15) Holomorphic mappings and correspondences (32H99) Boundary behavior of holomorphic functions of several complex variables (32A40) Pseudoconvex domains (32T99) Global boundary behavior of holomorphic functions of several complex variables (32E35)
Related Items
Classification of Proper Holomorphic Mappings Between Generalized Pseudoellipsoids of Different Dimensions ⋮ Extending proper holomorphic mappings of positive codimension ⋮ Regularity of CR mappings ⋮ Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings ⋮ Bergman Kernel in Complex Analysis ⋮ Germs of CR maps between real analytic hypersurfaces ⋮ Mappings of three-dimensional CR manifolds and their holomorphic extension ⋮ Proper holomorphic mappings between real-analytic pseudoconvex domains in \({\mathbb{C}}^ n\) ⋮ On exotic symmetries of finite type models ⋮ -regularity of the Bergman projection on quotient domains ⋮ Mapping problems in complex analysis and the \overline∂-problem ⋮ Rigidity of CR morphisms between compact strongly pseudoconvex CR manifolds ⋮ CR mappings of finite multiplicity and extension of proper holomorphic mappings ⋮ Regularity of continuous CR maps in arbitrary dimension. ⋮ Proper holomorphic mappings of quasi-balanced domains in \(\mathbb{C}^3\) ⋮ Some aspects of holomorphic mappings: a survey ⋮ 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 ⋮ Condition R and proper holomorphic maps between equidimensional product domains ⋮ Proper holomorphic self-maps of bounded domains with a weakly spherical boundary point ⋮ Proper holomorphic maps from domains in \(\mathbb C^{2}\) with transverse circle action ⋮ Proper self maps of weakly pseudoconvex domains ⋮ Conformal equivalence of visual metrics in pseudoconvex domains ⋮ Condition R and holomorphic mappings of domains with generic corners ⋮ Proper holomorphic mappings between some nonsmooth domains ⋮ Rigidity and regularity in group actions ⋮ Sobolev Space Projections In Strictly Pseudoconvex Domains ⋮ Proper holomorphic mappings ⋮ Unique continuation theorems for the \(\bar \partial\)-operator and applications ⋮ De Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the \(\bar \partial\)-Neumann problem ⋮ Local Boundary Regularity of the Szego Projection and Biholomorphic Mappings of Non-Pseudoconvex Domains ⋮ Reflection principle and boundary properties of holomorphic mappings ⋮ Local geometric properties of real submanifolds in complex space ⋮ Proper Holomorphic Mappings and the Cowen-Douglas Class ⋮ The geometric reflection principle in several complex variables: a survey ⋮ Unnamed Item ⋮ A lower bound on the Kobayashi metric near a point of finite type in \(\mathbb{C} ^ n\) ⋮ Proper holomorphic mappings between invariant domains in $\mathbb {C}^n$ ⋮ Small Sets of Infinite Type are Benign for the $\overline\partial$-Neumann Problem ⋮ Two decades of finite jet determination of CR mappings ⋮ Boundedness of the Bergman projector and Bell's duality theorem ⋮ Proper maps from strongly \(q\)-convex domains ⋮ Regularity of the Bergman projection and duality of holomorphic function spaces ⋮ Uniform estimate for the \({\bar\partial}\)-problem in a class of branched covering of strictly pseudoconvex domains ⋮ Unnamed Item ⋮ Proper holomorphic mappings of balanced domains in \(\mathbb C^n\) ⋮ Proper holomorphic mappings extend smoothly to the boundary ⋮ Boundary behavior of proper holomorphic correspondences ⋮ A reflection principle on strongly pseudoconvex domains with generic corners ⋮ Extension of proper holomorphic mappings past the boundary ⋮ Function theory and holomorphic maps on symmetric products of planar domains ⋮ Stationary discs for smooth hypersurfaces of finite type and finite jet determination
Cites Work
- Unnamed Item
- Biholomorphic mappings and the \(\overline\partial\)-problem
- A remark on a paper by S. R. Bell
- Proper holomorphic mappings and the Bergman projection
- Proper holomorphic images of strictly pseudoconvex domains
- Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
- Pseudoconvex domains with real-analytic boundary
- Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- Harmonic integrals on strongly pseudo-convex manifolds. I
- Über das Randverhalten von holomorphen Automorphismen beschränkter Gebiete
- Smooth extendability of proper holomorphic mappings
- Local boundary regularity of holomorphic mappings
- How to prove Fefferman's theorem without use of differential geometry
- Proper holomorphic mappings extend smoothly to the boundary
- The Blaschke Condition for Bounded Holomorphic Functions
This page was built for publication: Boundary regularity of proper holomorphic mappings