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Szegö's Theorem and Uniform Algebras

Published online by Cambridge University Press:  20 November 2018

Takahiko Nakazi
Takahiko Nakazi*
Affiliation:
Hokusei Gakuen University, Sapporo 004-8631, Japane-mail: [email protected]
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Abstract

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We study Szegö's theorem for a uniform algebra. In particular, we do it for the disc algebra or the bidisc algebra.

Keywords

32A3546J1560G25Szegö's theoremuniform algebrasdisc algebraweighted Bergman space
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 54 , Issue 2 , 01 June 2011 , pp. 338 - 346
Copyright
Copyright © Canadian Mathematical Society 2011

References

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[2] Gamelin, T.W., Uniform algebras. Prentice-Hall, Englewood Cliffs, NJ, 1969.Google Scholar
[3] Nakazi, T., Szegö's theorem on a bidisc. Trans. Amer. Math. Soc. 328(1991), no. 1, 421–432. doi=10.2307/2001888 doi:10.2307/2001888Google Scholar
[4] Nakazi, T. and Yamada, M., Riesz's functions in weighted Hardy and Bergman spaces. Canad. J. Math. 48(1996), no. 5, 930–945.Google Scholar
[5] Szegö, G., Beiträge zur Theorie der Toeplitzschen Formen. Math. Z. 6(1920), no. 3–4, 167–202. doi:10.1007/BF01199955Google Scholar