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Interpolating sequences in harmonically weighted Dirichlet spaces

Author: António Serra
Journal: Proc. Amer. Math. Soc. 131 (2003), 2809-2817
MSC (2000): Primary 30E05; Secondary 46E20
Published electronically: January 2, 2003
MathSciNet review: 1974338
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Abstract: We describe the interpolating sequences and weak interpolating sequences for the multiplier algebras of harmonically weighted Dirichlet spaces $D(\mu)$ when $\mu$ is a finitely atomic measure.

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Additional Information

António Serra
Affiliation: Department of Mathematics, University of California, Berkeley, California 94720
Address at time of publication: Departamento de Matemática-IST, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Keywords: Interpolating sequences, weighted Dirichlet spaces
Received by editor(s): May 3, 2001
Received by editor(s) in revised form: April 3, 2002
Published electronically: January 2, 2003
Additional Notes: This work was fully supported by the PRAXIS XXI program, scholarship BD/11064/97, F.C.T., Lisbon, Portugal
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2003 American Mathematical Society