Cyclic composition operators on smooth weighted Hardy spaces

DOI10.1216/rmjm/1181071661zbMath0944.47017OpenAlexW2050335764MaRDI QIDQ1806252

Nina Zorboska

Publication date: 1 November 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol29-2/CONT29-2/CONT29-2.html

zbMATH Keywords

weighted Hardy spaceshypercyclic and cyclic composition operatorslinear fractional self-map

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on function spaces (general) (47B38) Structure theory of linear operators (47A65) Linear composition operators (47B33)

Related Items (8)

Recurrence of multiples of composition operators on weighted Dirichlet spaces ⋮ Notes on hypercyclicity of composition operator on the weighted Dirichlet spaces ⋮ Composition operators on the Hardy–Hilbert space 𝐻² and model spaces 𝐾_{Θ} ⋮ Complex symmetry of invertible composition operators on weighted Bergman spaces ⋮ Multiplication operators on weighted Hardy spaces ⋮ Hypercyclicity of composition operators on Banach spaces of analytic functions ⋮ Generalized multiplication operators on weighted Hardy spaces ⋮ Property of reflexivity for multiplication operators on Banach function spaces

Cites Work

• Composition operators on small weighted Hardy spaces
• The essential norm of a composition operator
• Composition operators and classical function theory
• Relating composition operators on different weighted Hardy spaces
• Cyclic phenomena for composition operators
• Compact Composition Operators on Spaces of Boundary-Regular Holomorphic Functions
• Composition Operators Induced by Functions with Supremum Strictly Smaller than 1
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