A class of linear fractional maps of the ball and their composition operators

DOI10.1016/j.aim.2006.05.012zbMath1112.32002OpenAlexW1963884035MaRDI QIDQ868917

Frederic Bayart

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.aim.2006.05.012

zbMATH Keywords

hypercyclic operatorslinear mapsholomorphic self-maps

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Linear composition operators (47B33)

Related Items (12)

Generalizations of linear fractional maps for classical symmetric domains and related fixed point theorems for generalized balls ⋮ New characterizations for weighted composition operator from Zygmund type spaces to Bloch type spaces ⋮ Disjoint mixing linear fractional composition operators in the unit ball ⋮ Dynamics of weighted composition operators in the unit ball ⋮ Norms and spectral radii of linear fractional composition operators on the ball ⋮ Disjoint mixing composition operators on the Hardy space in the unit ball ⋮ Cyclic behavior of linear fractional composition operators in the unit ball of \(\mathbb C^N\) ⋮ Parabolic composition operators on the ball ⋮ Essential normality of linear fractional composition operators in the unit ball of \(\mathbb C^N\) ⋮ Spectra of some invertible weighted composition operators on Hardy and weighted Bergman spaces in the unit ball ⋮ The linear fractional model on the ball ⋮ Linear fractional composition operators on the Dirichlet space in the unit ball

Cites Work

• Linear fractional maps of the unit ball: A geometric study
• Iterates of holomorphic self-maps of the unit ball in \(C^ n\)
• Classification of semigroups of linear fractional maps in the unit ball
• Linear fractional composition operators on \(H^ 2\)
• Inner functions and cyclic composition operators on \(H^2(B_n)^1\).
• Cyclic phenomena for composition operators
• The role of the spectrum in the cyclic behavior of composition operators
• SPECTRA OF AUTOMORPHISM-INDUCED COMPOSITION OPERATORS ON H^p (B_N )
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A class of linear fractional maps of the ball and their composition operators