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A Note on Blaschke Products with Zeroes in a Nontangential Region
Published online by Cambridge University Press: 20 November 2018
Abstract
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, D1+αB) < ∞ is equivalent to the condition {(1 - |zk|(1/p)-αKα} ∊ l∞.
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- Copyright © Canadian Mathematical Society 1989