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On extreme points of the unit ball of a Hardy-Lorentz space

Published 17 Jul 2025 in math.FA | (2507.12810v1)

Abstract: We investigate the problem of a characterization of extreme points of the unit ball of a Hardy-Lorentz space $H(\Lambda(\varphi))$, posed by Semenov in 1978. New necessary and sufficient conditions, under which a normalized function $f$ in $H(\Lambda(\varphi))$ belongs to this set, are found. The most complete results are obtained in the case when $f$ is the product of an outer analytic function and a Blaschke factor.

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Authors (1)

  1. Sergey V. Astashkin 

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