A simplification and extension of Fefferman's theorem on biholomorphic mappings

DOI10.1007/BF01418930zbMath0411.32010OpenAlexW2000296290MaRDI QIDQ1259738

Publication date: 1980

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142711

zbMATH Keywords

pseudoconvex domains real analytic boundary Delta-Neumann operators extension of biholomorphic mappings

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Pseudoconvex domains (32T99) Global boundary behavior of holomorphic functions of several complex variables (32E35)

Related Items

On Hardy spaces on worm domains, A survey of the $L^p$ regularity of the Bergman projection, Holomorphic automorphisms of certain class of domains of infinite type, Duality and approximation of Bergman spaces, Rescaling methods in complex analysis, The Diederich-Fornaess index and the regularities on the \bar{\partial}-Neumann problem, Bergman Kernel in Complex Analysis, Hardy Spaces of Holomorphic Functions for Domains in ℂ n with Minimal Smoothness, On CR mappings between pseudoconvex hypersurfaces of finite type in $\mathbb{C}^2$, Quadrature domains for the Bergman space in several complex variables, Mapping problems in complex analysis and the \overline∂-problem, On the $\mathcal{C}^\infty$ regularity of CR mappings of positive codimension, Applications of Bergman representative coordinates, Some new results on domains in complex space with non-compact automorphism group., Boundary regularity of Bergman kernel in Hölder space, Sobolev mapping of the Bergman projections on generalized Hartogs triangles, Hardy spaces and the Szegő projection of the non-smooth worm domain $D_\beta^\prime$, Condition R and proper holomorphic maps between equidimensional product domains, Global 𝐶^{∞} irregularity of the ∂̄-Neumann problem for worm domains, On the automorphism groups of finite multitype models in $\mathbb C^n$, Conformal equivalence of visual metrics in pseudoconvex domains, Unnamed Item, On weights which admit reproducing kernel of Szegő type, Condition R and holomorphic mappings of domains with generic corners, Duality of holomorphic function spaces and smoothing properties of the Bergman projection, Sobolev mapping of some holomorphic projections, A survey on the $L^2$ extension theorems, Goldilocks domains, a weak notion of visibility, and applications, Unique continuation theorems for the $\bar \partial$-operator and applications, Local Boundary Regularity of the Szego Projection and Biholomorphic Mappings of Non-Pseudoconvex Domains, Behavior of the Bergman projection on the Diederich-Fornæss worm, Smooth hypersurfaces with a CR contraction, Hartogs domains and the Diederich-Fornæss index, Strictly pseudoconvex domains in 𝐶ⁿ, Product domains, multi-Cauchy transforms, and the $\bar{\partial}$ equation, On the automorphism group of a certain infinite type domain in $\mathbb{C}^2$, Unnamed Item, The Kobayashi metric in the normal direction and the mapping problem, Mapping properties of the Bergman projections on elementary Reinhardt domains, The automorphism group and limit set of a bounded domain I: the finite type case, Small Sets of Infinite Type are Benign for the $\overline\partial$-Neumann Problem, On the tangential holomorphic vector fields vanishing at an infinite type point, Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel, Cauchy-type integrals in several complex variables, On weights which admit harmonic Bergman kernel and minimal solutions of Laplace's equation, Regularity at the boundary for $\overline \partial$ on $Q$-pseudoconvex domains, Boundedness of the Bergman projector and Bell's duality theorem, Smooth extendability of proper holomorphic mappings, On the compactness of the automorphism group of a domain, Proper holomorphic mappings extend smoothly to the boundary, La métrique de Kobayashi et la représentation des domaines sur la boule, Two boundary rigidity results for holomorphic maps, Stationary discs for smooth hypersurfaces of finite type and finite jet determination, A note on weighted Bergman spaces and the Cesaro Operator

Cites Work