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An interpolation theorem for Hilbert spaces with Nevanlinna-Pick kernel
Author(s):
Bjarte
Bøe
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2077-2081.
MSC (2000):
Primary 30H05, 46E22
Posted:
January 31, 2005
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Abstract:
We prove an interpolation theorem for Hilbert spaces of analytic functions that have the Nevanlinna-Pick property. This result applies to Dirichlet and Dirichlet-type spaces, and in particular a short proof of the theorem by Marshall-Sundberg on interpolating sequences is obtained.
References:
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Additional Information:
Bjarte
Bøe
Affiliation:
Department of Mathematics, University of California Los Angeles, Box 951555, Los Angeles, California 90095-1555
Email:
bjarteb@math.ucla.edu
DOI:
10.1090/S0002-9939-05-07722-1
PII:
S 0002-9939(05)07722-1
Received by editor(s):
September 30, 2003
Received by editor(s) in revised form:
March 12, 2004
Posted:
January 31, 2005
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2005,
American Mathematical Society
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