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18th International Conference on Operator Theory
June 27 - July 1, 2000
University of the West
Timisoara, Romania

Organizers
Dumitru Gaspar, Traian Ceausu, Aurelian Craciunescu, Aurelian Gheondea, Radu-Nicolae Gologan, Ciprian Pop, Dan Popovici, Nicolae Suciu, Alexandru Terescenco, Dan Timotin, Flavius Turcu

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Interpolation sequence on certain spaces of analytic functions
by
K. Mosaleheh
Dept. of Math., Shiraz University, Shiraz, Iran

Let G be a finitely connected domain and H be a space of analytic functions on G. A sequence {zn} in G is said to be interpolating for H if for every bounded sequence {an} of complex numbers there is f in H such that f(zn)=an, n=1, 2, 3, ... . L. Carleson has characterized the interpolating for H\infty. S. Axler has extended these ideas to the multipliers of Dirichlet space. In this article we extended this results for the multipliers of the space H.

Date received: March 28, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeo-11.