On optimal recovery of a holomorphic function in the unit ball of Cn

K. Y. Osipenko; M. I. Stessin

doi:10.1007/BF01238265

On optimal recovery of a holomorphic function in the unit ball of Cⁿ

K. Y. Osipenko
, M. I. Stessin

Mathematics and Statistics

University at Albany

Moscow State Aviation Institute

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Some problems of optimal recovery in the Hardy and Bergman spaces in the unit ball of Cⁿ are solved. In particular, some variants of the Schwartz Lemma follow.

Original language	English
Pages (from-to)	141-159
Number of pages	19
Journal	Constructive Approximation
Volume	8
Issue number	2
DOIs	https://doi.org/10.1007/BF01238265
State	Published - Jun 1992

Keywords

AMS classification: 30C80, 30E10
Bergman space
Hardy space
Optimal recovery
Unit ball of C

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10.1007/BF01238265

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title = "On optimal recovery of a holomorphic function in the unit ball of Cn",

abstract = "Some problems of optimal recovery in the Hardy and Bergman spaces in the unit ball of Cn are solved. In particular, some variants of the Schwartz Lemma follow.",

keywords = "AMS classification: 30C80, 30E10, Bergman space, Hardy space, Optimal recovery, Unit ball of C",

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year = "1992",

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journal = "Constructive Approximation",

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N2 - Some problems of optimal recovery in the Hardy and Bergman spaces in the unit ball of Cn are solved. In particular, some variants of the Schwartz Lemma follow.

AB - Some problems of optimal recovery in the Hardy and Bergman spaces in the unit ball of Cn are solved. In particular, some variants of the Schwartz Lemma follow.

KW - AMS classification: 30C80, 30E10

KW - Bergman space

KW - Hardy space

KW - Optimal recovery

KW - Unit ball of C

UR - https://www.scopus.com/pages/publications/0000981701

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DO - 10.1007/BF01238265

M3 - Article

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SP - 141

EP - 159

JO - Constructive Approximation

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IS - 2

ER -

On optimal recovery of a holomorphic function in the unit ball of Cⁿ

Abstract

Keywords

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