Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/power-bounded-composition-operators-flhptEwr6v
References (24)
-
J. Bonet, W. Ricker (2009)
Mean ergodicity of multiplication operators in weighted spaces of holomorphic functionsArchiv der Mathematik, 92
-
K D Bierstedt, W H Summers (1993)
Biduals of weighted Banach spaces of holomorphic functionsJ. Austral Math. Soc. Ser. A, 54
-
Helga Mynott (1995)
Composition Operators on Spaces of Analytic Functions -
S. Ohno, Karel Stroethoff, R. Zhao (2003)
Weighted Composition Operators between Bloch-Type SpacesRocky Mountain Journal of Mathematics, 33
-
J. Bonet, P. Dománski (2011)
A note on mean ergodic composition operators on spaces of holomorphic functionsRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 105
-
K. Bierstedt, R. Meise, W. Summers (1982)
A projective description of weighted inductive limitsTransactions of the American Mathematical Society, 272
-
U Krengel (1985)
Ergodic Theorems -
K. Bierstedt, J. Bonet, J. Taskinen (1998)
Associated weights and spaces of holomorphic functionsStudia Mathematica
-
Takuya Hosokawa, K. Izuchi, S. Ohno (2005)
Topological Structure of the Space of Weighted Composition Operators on H∞Integral Equations and Operator Theory, 53
-
K. Bierstedt, W. Summers (1993)
Biduals of weighted banach spaces of analytic functionsJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 54
-
J Milnor (2006)
Dynamics in One Complex Variable, Annals of Mathematics Studies 160 -
P. Poggi-Corradini (2004)
Iteration of analytic self-maps of the disk: an overview, 6
-
Barbara Maccler, S. Ohno, R. Zhao (2001)
Topological structure of the space of composition operators onH∞Integral Equations and Operator Theory, 40
-
J. Milnor (2000)
Dynamics in one complex variable -
L E Böttcher (1904)
The principal laws of convergence of iterates and their applications to analysis, (in russian)Izv. Kazan. Fiz.-Mat. Obshch., 14
-
M. Lindström, E. Wolf (2008)
Essential norm of the difference of weighted composition operatorsMonatshefte für Mathematik, 153
-
S. Ohno (2001)
WEIGHTED COMPOSITION OPERATORS BETWEEN H1 AND THE BLOCH SPACETaiwanese Journal of Mathematics, 5
-
W. Ricker (2008)
Mean Ergodic Operators -
J. Bonet, M. Lindström, E. Wolf (2008)
DIFFERENCES OF COMPOSITION OPERATORS BETWEEN WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONSJournal of the Australian Mathematical Society, 84
-
Manuel Contreras, A. Hernández-Díaz (2000)
Weighted composition operators in weighted Banach spaces of analytic functionsJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 69
-
Scientifiques L’É.N.S, G. Koenigs, Pau Koenigs
Recherches sur les intégrales de certaines équations fonctionnellesAnnales Scientifiques De L Ecole Normale Superieure, 1
-
J. Shapiro (1993)
Composition Operators: And Classical Function Theory -
K. Bierstedt, J. Bonet, A. Galbis (1993)
Weighted spaces of holomorphic functions on balanced domains.Michigan Mathematical Journal, 40
-
J. Bonet, P. Dománski, M. Lindström, J. Taskinen (1998)
Composition operators between weighted Banach spaces of analytic functionsJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 64
- Publisher
- Springer Journals
- Copyright
- Copyright © 2012 by Heldermann Verlag
- Subject
- Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
- ISSN
- 1617-9447
- eISSN
- 2195-3724
- DOI
- 10.1007/BF03321816
- Publisher site
- See Article on Publisher Site
Abstract
Let ϕ be an analytic self-map of the open unit disk D. Such a map induces a composition operator C ϕ acting on weighted Bergman spaces of infinite order. We study when such operators are power bounded and when they are uniformly mean ergodic.
Journal
Computational Methods and Function Theory – Springer Journals
Published: Nov 19, 2011