On optimal recovery of a holomorphic function in the unit ball of \(\mathbb{C}^ n\)

DOI10.1007/BF01238265zbMath0757.41035OpenAlexW2022723057MaRDI QIDQ1185193

Michael I. Stessin, Konstantin Yu. Osipenko

Publication date: 28 June 1992

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01238265

zbMATH Keywords

Hardy spaceBergman spacesoptimal recovery

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (6)

Joint spectra of Toeplitz operators and optimal recovery of analytic functions ⋮ Solution of extremal problems in Bergman spaces using the Bergman projection ⋮ Canonical divisors in weighted Bergman spaces ⋮ Hadamard and Schwarz type theorems and optimal recovery in spaces of analytic functions ⋮ Cauchy and Bergman projection, sharp gradient estimates and certain operator norm equalities ⋮ Extremal functions in weighted Bergman spaces

Cites Work

• Optimal recovery of best approximations
• The n-width of sets of analytic functions
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