Best approximations for the weighted combination of the Cauchy-Szegö kernel and its derivative in the mean

In this paper, we study an extremal problem involving best approximation in the Hardy space $H^1$ on the unit disk $\mathbb D$. Specifically, we consider weighted combinations of the Cauchy-Szegö kernel and its derivative, parameterized by an inner funtion $\varphi$ and a complex number $\lambda$,...

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Bibliographic Details
Main Authors: V.V. Savchuk, M.V. Savchuk
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2024-12-01
Series:Researches in Mathematics
Subjects:
Online Access:https://vestnmath.dnu.dp.ua/index.php/rim/article/view/439/439
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