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Polynomial approximations on a polydisc1

Published online by Cambridge University Press:  09 April 2009

Charles K. Chui
Charles K. Chui
Affiliation:
Texas A&M University College Station, Texas 77843, U.S.A.
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Throughout this paper, we will use the terminologies and notations as in [4]. Thus, UN denotes the open unit polydisc in the space CN of N complex variables, TN the distinguished boundary of UN and .

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 14 , Issue 2 , September 1972 , pp. 216 - 218
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Chui, C. K., ‘Bounded approximation by polynomials whose zeros lie on a circle’, Trans. Amer. Math. Soc. 138 (1969), 171–182.CrossRefGoogle Scholar
[2]Chui, C. K., ‘C-polynomial approximation of Hp and ℋp functions’, J. Math. Analysis and Appl. To appear.Google Scholar
[3]Korevaar, J., ‘Approximation by polynomials whose zeros lie on a circle’, Nieuw Arch. Wisk (3) 10 (1962), 11–16.Google Scholar
[4]Rudin, W., Function theory in polydiscs (W. A. Benjamin, New York, 1969).Google Scholar