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Approximation on Boundary Sets

Published online by Cambridge University Press:  20 November 2018

James Li-Ming Wang
James Li-Ming Wang*
Affiliation:
Department of Mathematics, University of Alabama, University, Alabama 35486
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Abstract

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Let U be a bounded open subset of the complex plane. By a well known result of A. M. Davie, C(bU) is the uniformly-closed linear span of A(U) and the powers (z-zi)-n, n = 1, 2, 3, … with zi a point in each component of U. We show that if A(U) is a Dirichlet algebra and bU is of infinite length, then one power of (z - zi) is superfluous.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 3 , 01 September 1979 , pp. 377 - 379
Copyright
Copyright © Canadian Mathematical Society 1979

References

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