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Fredholm composition operators
Author(s):
Barbara
D.
MacCluer
Journal:
Proc. Amer. Math. Soc.
125
(1997),
163-166.
MSC (1991):
Primary 47B38
MathSciNet review:
1371134
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Abstract:
Fredholm composition operators on a variety of Hilbert spaces of analytic functions on domains in , are characterized.
References:
- [Bou90]
- P. S. Bourdon, Fredholm multiplication and composition operators on the Hardy space, J. Integral Equations Operator Theory 13 (1990) 607-610. MR 91m:47038
- [Cim77]
- J. A. Cima, A theorem on composition operators, Banach Spaces of Analytic
Functions, Lecture Notes in Math., Vol. 604, Springer-Verlag, Berlin, 1977, 21-24. MR 57:13562 - [CiTW74]
- J. A. Cima, J. Thomson, and W. R. Wogen, On some properties of composition operators, Indiana Univ. Math. J. 24 (1974) 215-220. MR 50:2979
- [CM95]
- C. C. Cowen and B. D. MacCluer, Composition Operators on Spaces of Analytic Functions, CRC Press, Boca Raton, 1995.
- [Hat94]
- O. Hatori, Fredholm composition operators on spaces of holomorphic functions, J. Integral Equations Operator Theory 18 (1994) 202-210. MR 95a:47027
- [JM95]
- M. Jovovic and B. D. MacCluer, Composition operators on Dirichlet spaces, preprint.
- [K71]
- N. Kerzman, Holder and
estimates for solutions of in strongly pseudoconvex domains, Comm. Pure Appl. Math. 24 (1971) 301-379. MR 43:7658
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Additional Information:
Barbara
D.
MacCluer
Affiliation:
Department of Mathematics, University of Virginia, Charlottesville, Virginia 22903
Email:
maccluer@virginia.edu
DOI:
10.1090/S0002-9939-97-03743-X
PII:
S 0002-9939(97)03743-X
Received by editor(s):
July 3, 1995
Additional Notes:
Supported in part by National Science Foundation Grant DMS-9300525.
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1997,
American Mathematical Society
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