Boundary Behavior of Semigroups of Holomorphic Mappings on the Unit Ball in C n

DOI10.1080/02781070290010869zbMath1030.32015OpenAlexW2074458705MaRDI QIDQ3152065

L. A. Ajzenberg, David M. Shoikhet

Publication date: 22 October 2002

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070290010869

zbMATH Keywords

generatorasymptotic behaviorangular derivativestationary pointholomorphic mappingsone-parameter semigroupbest rate of exponential convergenceboundary Schwarz-Wolff lemma

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Implicit function theorems; global Newton methods on manifolds (58C15) Boundary regularity of mappings in several complex variables (32H40)

Related Items (7)

Classification of semigroups of linear fractional maps in the unit ball ⋮ Complex symmetric \(C_0\)-semigroups on the weighted Hardy spaces \(H_\gamma(\mathbb{D})\) ⋮ A Julia-Carathéodory theorem for hyperbolically monotone mappings in the Hilbert ball ⋮ Affine infinitesimal generators of semigroups on the polydisk ⋮ Infinitesimal generators associated with semigroups of linear fractional maps ⋮ A proof of the Muir-Suffridge conjecture for convex maps of the unit ball in \(\mathbb{C}^n\) ⋮ Canonical models for holomorphic iteration

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