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ISSN 1088-6826(e) ISSN 0002-9939(p)

Generalized interpolation in a multiply connected region

Author(s): Hari Bercovici; Adele Zucchi
Journal: Proc. Amer. Math. Soc. 124 (1996), 2109-2113.
MSC (1991): Primary 47A45; Secondary 47B35, 30D55, 30E05
MathSciNet review: 1322912
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Abstract: In this paper we extend to the case of multiply connected regions the famous result of Sarason concerning the characterization of operators commuting with the compression of the unilateral shift on $H^{2}$ to a co-invariant subspace.

References:

1.: M. B. Abrahamse, The Pick Interpolation Theorem for finitely connected domains, Michigan Math. J. 26 (1979), 195-203. MR 80j:30052
2.: M. B. Abrahamse, Toeplitz Operators in multiply connected regions, Amer. J. Math. 96 (1974), 261-297. MR 50:14333
3.: M. B. Abrahamse and R. G. Douglas, A Class of Subnormal Operators related to multiply connected domains, Advances in Math. 19 (1976), 106-148. MR 53:1327
4.: J. A. Ball and K. F. Clancey, Reproducing Kernels for Hardy Spaces on multiply connected domains, Preprint.
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11.: A. Zucchi, Ph.D. Dissertation, Indiana University, Bloomington (1994).

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Additional Information:

Hari Bercovici
Affiliation: Department of Mathematics, Indiana University, Rawles Hall, Bloomington, Indiana 47405-5701
Email: bercovic@indiana.edu

Adele Zucchi
Affiliation: Department of Mathematics, Indiana University, Rawles Hall, Bloomington, Indiana 47405-5701

DOI: 10.1090/S0002-9939-96-03286-8
PII: S 0002-9939(96)03286-8
Received by editor(s): November 28, 1994
Received by editor(s) in revised form: January 27, 1995
Additional Notes: The first author was supported in part by grants from the National Science Foundation
The second author was supported in part by the Istituto Nazionale di Alta Matematica ``F. Severi" of Italy
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1996, American Mathematical Society

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