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Dirichlet-finite outer functions
Published online by Cambridge University Press: 09 April 2009
Abstract
Given a measurable function k non-negative a.e. on the circle |z| = 1, when is the outer function Tk (see(1.3)) continuous on the disk |z| < 1 and further, Dirichlet-finite: We shall show, among other results, that the answer is in the positive if , with ess inf k > 0.
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- Copyright © Australian Mathematical Society 1981
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