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On BMOA for Riemann Surfaces

Published online by Cambridge University Press:  20 November 2018

Thomas A. Metzger
Thomas A. Metzger*
Affiliation:
University of Pittsburgh, Pittsburgh, Pennsylvania
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Let Δ denote the unit disk in the complex plane C. The space BMO has been extensively studied by many authors (see [3] for a good exposition of this topic). Recently, the subspace BMOA (Δ) has become a topic of interest. An analytic function f, in the Hardy class H2(A), belongs to BMOA (Δ) if

(1)

where

It is known (see [3, p. 96]) that (1) is equivalent to

(2)

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 33 , Issue 5 , 01 October 1981 , pp. 1255 - 1260
Copyright
Copyright © Canadian Mathematical Society 1981

References

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