Linear fractional maps of the unit ball: A geometric study

DOI10.1006/aima.2001.2042zbMath1008.32007OpenAlexW2040338529MaRDI QIDQ696830

Cinzia Bisi, Filippo Bracci

Publication date: 12 September 2002

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.2001.2042

zbMATH Keywords

fixed pointcomposition operatorslinear fractional mapautomorphism of the ball

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Linear composition operators (47B33)

Related Items (19)

The range of linear fractional maps on the unit ball ⋮ On the self-inverse operators ⋮ Classification of semigroups of linear fractional maps in the unit ball ⋮ A class of linear fractional maps of the ball and their composition operators ⋮ Generalizations of linear fractional maps for classical symmetric domains and related fixed point theorems for generalized balls ⋮ Simultaneous models for commuting holomorphic self-maps of the ball ⋮ Complex symmetric \(C_0\)-semigroups on the weighted Hardy spaces \(H_\gamma(\mathbb{D})\) ⋮ Disjoint mixing composition operators on the Hardy space in the unit ball ⋮ Topological structure of the set of composition operators on the weighted Bergman space ⋮ Cyclic behavior of linear fractional composition operators in the unit ball of \(\mathbb C^N\) ⋮ Hyperbolic composition operators on the ball ⋮ Infinitesimal generators associated with semigroups of linear fractional maps ⋮ Parabolic composition operators on the ball ⋮ Essential normality of linear fractional composition operators in the unit ball of \(\mathbb C^N\) ⋮ Unnamed Item ⋮ The linear fractional model on the ball ⋮ Spectra of linear fractional composition operators onH²(B_N) ⋮ Linear fractional composition operators on the Dirichlet space in the unit ball ⋮ Schwarz lemma and Kobayashi metrics for holomorphic functions

Cites Work

• Composition operators and classical function theory
• Biholomorphic maps in Hilbert space have a fixed point
• Cyclic phenomena for composition operators
• On the geometry at the boundary of holomorphic self-maps of the Unit Ball of C ⁿ
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Linear fractional maps of the unit ball: A geometric study