On Some Class of Extreme Points of the Unit Ball of a Hardy–Lorentz Space

We consider the problem of characterizing the set of extreme points of the unit ball in a Hardy–Lorentz space $$H(\Lambda (\varphi ))$$ , posed by E.M. 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.