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A note on interpolation by Bloch functions
Author(s):
Daniel
Pascuas
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2127-2130.
MSC (2000):
Primary 30E05, 30D45;
Secondary 30D50
Posted:
March 2, 2007
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Abstract:
We show that the positive part of a result on interpolation by Bloch functions due to B. Bøe and A. Nicolau is a direct consequence of C. Sundberg's description of the traces of BMOA functions on interpolating sequences for  .
References:
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- 1.
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- 2.
- Lennart Carleson, An interpolation problem for bounded analytic functions, Amer. J. Math. 80 (1958), 921-930. MR 0117349 (22:8129)
- 3.
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- 4.
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- 7.
- Artur Nicolau, Radial behaviour of harmonic Bloch functions and their area function, Indiana Univ. Math. J. 48 (1999), no. 4, 1213-1236. MR 1757073 (2001f:42033)
- 8.
- Kristian Seip, Interpolation and sampling in spaces of analytic functions, University Lecture Series, vol. 33, American Mathematical Society, Providence, RI, 2004. MR 2040080 (2005c:30038)
- 9.
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Additional Information:
Daniel
Pascuas
Affiliation:
Departament de Matemàtica Aplicada i Anàlisi, Facultat de Matemàtiques, Universitat de Barcelona, Gran Via 585, 08071 Barcelona, Spain
Email:
daniel_pascuas@ub.edu
DOI:
10.1090/S0002-9939-07-08722-9
PII:
S 0002-9939(07)08722-9
Keywords:
Interpolation,
Bloch functions,
BMOA
Received by editor(s):
November 30, 2005
Received by editor(s) in revised form:
March 16, 2006
Posted:
March 2, 2007
Additional Notes:
The author was partially supported by the DGI grant MTM2005-08984-C02-02 and the DURSI grant 2005SGR00611.
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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