Spectra of linear fractional composition operators onH2(BN)

DOI10.1080/17476933.2013.836185zbMath1343.47035arXiv1011.6020OpenAlexW2115530080MaRDI QIDQ5495709

Liangying Jiang, Zhi Hua Chen

Publication date: 6 August 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.6020

zbMATH Keywords

Hardy spacecomposition operatorsspectralinear fractional maps

Mathematics Subject Classification ID

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

Related Items (2)

Generalizations of linear fractional maps for classical symmetric domains and related fixed point theorems for generalized balls ⋮ Commutators of composition operators with adjoints of composition operators on the ball

Cites Work

• Compact differences of composition operators on holomorphic function spaces in the unit ball
• Linear fractional maps of the unit ball: A geometric study
• The essential norms and spectra of composition operators on \(H^ \infty\).
• Spectra of composition operators on the Bloch and Bergman spaces
• Iterates of holomorphic self-maps of the unit ball in \(C^ n\)
• Spectra of composition operators on BMOA
• Classification of semigroups of linear fractional maps in the unit ball
• Norms and spectral radii of linear fractional composition operators on the ball
• Valiron's theorem in the unit ball and spectra of composition operators
• Composition operators on holomorphic Sobolev spaces in \(B_n\)
• Linear fractional composition operators on \(H^ 2\)
• The spectra of composition operators on H\(^p\)
• Spectra of some composition operators
• Relating composition operators on different weighted Hardy spaces
• The spectra of composition operators from linear fractional maps acting upon the Dirichlet space
• Parabolic composition operators on the ball
• Spectra of composition operators on algebras of analytic functions on Banach spaces
• The essential norms of composition operators
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