A Schwarz lemma for correspondences and applications

Kaushal Verma

Type: Article

Publication Date: 2003-07-01

Citations: 2

DOI: https://doi.org/10.5565/publmat_47203_04

Abstract

A version of the Schwarz lemma for correspondences is studied.Two applications are obtained namely, the 'non-increasing' property of the Kobayashi metric under correspondences and a weak version of the Wong-Rosay theorem for convex, finite type domains admitting a 'non-compact' family of proper correspondences.

Locations

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Works Cited by This (21)

Action	Title	Year	Authors
+	Boundary continuity of proper holomorphic correspondences	2006	Eric Bedford Steven R. Bell
+	Regularity of CR maps between convex hypersurfaces of finite type	1999	Bernard Coupet Hervé Gaussier Alexandre Sukhov
+	Construction of P.S.H. functions on weakly pseudoconvex domains	1989	John Erik Fornæss Nessim Sibony
+	Complex Analytic Sets	1989	E. M. Chirka
+ PDF Chat	A local version of Wong-Rosay’s theorem for proper holomorphic mappings	1999	Nabil Ourimi
+	Introduction to Complex Analytic Geometry	1991	Stanisław Łojasiewicz
+	Iteration theory of holomorphic maps on taut manifolds	1989	Marco Abate
+	Holomorphic correspondences of bounded domains in ℂn	1984	Eric Bedford Steven R. Bell
+	Proper Holomorphic Maps Onto Pseudoconvex Domains with Real-Analytic Boundary	1979	Klas Diederich John Erik Fornæss
+ PDF Chat	Topics on holomorphic correspondences	1972	Karl Stein