Holomorphic Mappings of Domains with Generic Corners

S. M. Webster

Type: Article

Publication Date: 1982-10-01

Citations: 6

DOI: https://doi.org/10.2307/2043388

Abstract

The boundary behavior of a biholomorpbic mapping / between two domains with real analytic, generic, nondegenerate corners in C" is considered.Under certain minimal regularity assumptions on / it is shown that / continues holomorphically past the boundary.

Locations

Proceedings of the American Mathematical Society - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Holomorphic mappings of domains with generic corners	1982	S. M. Webster
+	Condition R and holomorphic mappings of domains with generic corners	2012	Debraj Chakrabarti Kaushal Verma
+	Condition R and holomorphic mappings of domains with generic corners	2012	Debraj Chakrabarti Kaushal Verma
+ PDF Chat	Condition R and holomorphic mappings of domains with generic corners	2013	Debraj Chakrabarti Kaushal Verma
+	Domains of polyhedral type and boundary extensions of biholomorphisms	1998	Dmitri Zaitsev
+ PDF Chat	Domains of polyhedral type and boundary extensions of biholomorphisms	1998	Dmitri Zaitsev
+ PDF Chat	Boundary Behavior of Conformal Maps on Domains with Corners	2023	Zubair Ahmad Muhammad Noman Naveed Ahmad Khan Saqib Murtaza
+	Extension of Proper Holomorphic Mappings	2023	Sergey Pinchuk Rasul Shafikov Alexandre Sukhov
+	Holomorphic Correspondences	2023	Sergey Pinchuk Rasul Shafikov Alexandre Sukhov
+	Smoothly bounded domains covering compact manifolds	2019	Andrew Zimmer
+	Smoothly bounded domains covering compact manifolds	2019	Andrew Zimmer
+	Boundary angles, cusps and conformal mappings	1986	Raimo Näkki Bruce Palka
+	Biholomorphic Maps	2023	Volker Scheidemann
+	Biholomorphic mappings between quasicircular domains in 𝐂ⁿ	1991	Kang‐Tae Kim
+	Extension in $$\mathbb C^2$$	2023	Sergey Pinchuk Rasul Shafikov Alexandre Sukhov
+	Biholomorphic mappings between bounded domains in C n	1996	Yifei Pan
+	Distributional boundary values of holomorphic functions on product domains	2015	Debraj Chakrabarti Rasul Shafikov
+	Distributional boundary values of holomorphic functions on product domains	2015	Debraj Chakrabarti Rasul Shafikov
+ PDF Chat	Distributional boundary values of holomorphic functions on product domains	2016	Debraj Chakrabarti Rasul Shafikov
+	Smoothness to the boundary of biholomorphic mappings	2012	Steven G. Krantz

Works That Cite This (6)

Action	Title	Year	Authors
+	Integral representations of differential forms on Cauchy-Riemann manifolds and the theory of CR-functions	1984	R. A. Airapetyan G. M. Khenkin
+	On CR mappings between pseudoconvex hypersurfaces of finite type in ℂ2	1997	Bernard Coupet Alexandre Sukhov
+ PDF Chat	On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle	2002	Joël Merker
+ PDF Chat	Analytic regularity of CR-mappings	2002	Francine Meylan Nordine Mir Dmitri Zaitsev
+ PDF Chat	Proper holomorphic mappings	1984	Eric Bedford
+ PDF Chat	On 𝐶𝑅-mappings between algebraic Cauchy-Riemann manifolds and separate algebraicity for holomorphic functions	1996	Руслан Шарипов Alexander Sukhov

Works Cited by This (3)

Action	Title	Year	Authors
+	Local boundary regularity of holomorphic mappings	1980	Louis Nirenberg S. M. Webster Paul Yang
+	Lectures on the Edge-of-the-Wedge Theorem	1971	Walter Rudin
+	On the boundary behavior of holomorphic mappings	2002	Hans Lewy