Geodesic
Inheritance of Smoothness by Extremal Functions in Bergman Spaces~$A_p$ for $0$
Matematičeskie zametki, Tome 110 (2021) no. 2, pp. 170-191.

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the problem of how extremal functions for linear functionals over a Bergman space are influenced by the properties of the functions generating these functionals. For different classes of generating functions, we obtain a sufficiently exact description of qualitative properties of the corresponding extremal functions. The method developed here can be used to study similar problems in Hardy spaces.
Keywords: Bergman space, linear functional, extremal function, Lipschitz class, derivative, orthogonality, property of being Hilbert.
Mots-clés : existence 
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Kh. Kh. Burchaev; G. Yu. Ryabykh. Inheritance of Smoothness by Extremal Functions in Bergman Spaces~$A_p$ for $0

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