Three extremal problems in the Hardy and Bergman spaces of functions analytic in a disk

DOI10.1134/S0081543818090031zbMath1423.30036OpenAlexW2921989504MaRDI QIDQ2424176

Roman Razmikovich Akopyan, M. S. Saidusainov

Publication date: 24 June 2019

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818090031

zbMATH Keywords

modulus of continuitybest approximationHardy and Bergman spaces

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Hardy spaces (30H10) Spaces and algebras of analytic functions of one complex variable (30H99) Bergman spaces and Fock spaces (30H20)

Related Items (1)

The best approximation and the values of the widths of some classes of analytical functions in the weighted Bergman space B_(2,γ)

Cites Work

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• Best approximation of the differentiation operator in the space \(L_2\) on the semiaxis
• Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball
• On some extremal problems for differentiable functions of one variable
• Inequalities of Kolmogorov type for analytic functions of one and two complex variables and their applications to approximation theory
• Best approximation in the mean of certain classes of analytic functions
• Best approximation of linear operators
• Approximation of unbounded operators by bounded operators and related extremal problems
• K-FUNCTIONALS AND EXACT VALUES OF n-WIDTHS IN THE BERGMAN SPACE

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