Almost optimal estimates for entropy numbers of \(B_{2,2}^{1/2}\) and its consequences

DOI10.1007/s00209-004-0734-0zbMath1076.46023OpenAlexW2147358724MaRDI QIDQ1775184

Niranjan Chakravarthy

Publication date: 4 May 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-004-0734-0

zbMATH Keywords

Besov spacesentropy numbers

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) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (max. 100)

Extrapolation estimates for entropy numbers ⋮ Entropy numbers in function spaces with mixed integrability ⋮ An upper bound on the Kolmogorov widths of a certain family of integral operators

Cites Work

• Multipliers for (C,a)-bounded Fourier expansions in Banach spaces and approximation theory
• Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications
• Entropy numbers of vector-valued diagonal operators.
• Approximation Numbers and Entropy Numbers of Embeddings of Fractional Besov-sobolev Spaces in Orlicz Spaces
• COMPACT EMBEDDINGS OF BESOV SPACES IN EXPONENTIAL ORLICZ SPACES
• A note on the Littlewood-Paley square function inequality
• On multipliers preserving convergence of trigonometric series almost everywhere
• Metric entropy and approximation
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