Inheritance of Smoothness by Extremal Functions in Bergman Spaces $$A_p$$ for $$0
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Published:2021-07
Issue:1-2
Volume:110
Page:167-185
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ISSN:0001-4346
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Container-title:Mathematical Notes
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language:en
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Short-container-title:Math Notes
Author:
Burchaev Kh. Kh.,Ryabykh G. Yu.
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference19 articles.
1. L. V. Kantorovich and G. P. Akilov, Functional Analysis (Nauka, Moscow, 1984) [in Russian].
2. V. G. Ryabykh, “Some extremum problems in the space $$H_p'$$,” in Series of Exact and Natural Sciences: Scientific Reports in 1964 (Izd. RGU, Rostov on Don, 1964), pp. 33–34 [in Russian].
3. V. G. Ryabykh, “Extremum problems for integrable analytic functions,” Sibirsk. Mat. Zh. 27 (3), 212–217 (1986).
4. D. Khavinson and H. S. Shapiro, “Best approximation in the supremum norm by analytic and harmonic functions,” Ark. Math. 39, 339–359 (2001).
5. C. Beneteau and D. Khavinson, “A survey of linear extremal problems in analytic function spaces,” in CRM Proc. Lecture Notes, Vol. 55: Complex Analysis and Potential Theory (Amer. Math. Soc., Providence, RI, 2012), pp. 33–46.