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A Note on Blaschke Products with Zeroes in a Nontangential Region

Published online by Cambridge University Press:  20 November 2018

Miroljub Jevtić
Miroljub Jevtić*
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
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Abstract

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We show that if B is α Blaschke product with nontangential zero set {zk } and 0 < p < 1, 1/2 < αp < 1, then the condition sup0<r<1(l — r) Mp (r, D 1+α B) < ∞ is equivalent to the condition {(1 - |zk |(1/p)-α K α} ∊ l ∞.

Keywords

30D50

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 1 , 01 March 1989 , pp. 18 - 23
Copyright
Copyright © Canadian Mathematical Society 1989

References

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