Widths of the unit ball of \(H^ \infty\) in the weighted spaces \(L_ q(\mu)\)

DOI10.1007/BF01075640zbMath0810.46056OpenAlexW2039551366MaRDI QIDQ1324683

O. G. Parfenov

Publication date: 6 July 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01075640

zbMATH Keywords

Lebesgue spaceHardy spacesweak asymptoticsembedding operatorexact valuesBanach algebra of bounded analytic functions on the open unit diskKolmogorov and Gelfand widths

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Cites Work

• The n-width of sets of analytic functions
• Rational approximation and \(n\)-dimensional diameter
• Optimal Sampling of Holomorphic Functions
• On Some Interpolation Problems for Analytic Functions

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