Entropy numbers of embedding operators for weighted Sobolev spaces

DOI10.1134/S0001434615110310zbMath1333.47017OpenAlexW2299118055MaRDI QIDQ268121

A. A. Vasil'eva

Publication date: 14 April 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615110310

zbMATH Keywords

embeddingweighted Sobolev spaceweighted Lebesgue spaceentropy number

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) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

Related Items (6)

Spline wavelet decomposition in weighted function spaces ⋮ Estimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases ⋮ On some properties of finite sums of ridge functions defined on convex subsets of \(\mathbb{R}^n\) ⋮ Continuous sums of ridge functions on a convex body and the class VMO ⋮ On some properties of smooth sums of ridge functions ⋮ Estimate for the entropy numbers of the weighted Hardy operators that act from Banach space to \(q\)-Banach space

Cites Work

• Entropy and approximation numbers of limiting embeddings; an approach via Hardy inequalities and quadratic forms
• Entropy numbers in sequence spaces with an application to weighted function spaces
• Entropy numbers of diagonal operators between symmetric Banach spaces
• Entropy and approximation numbers of embeddings of weighted Sobolev spaces
• Entropy numbers of embeddings of weighted Besov spaces. III: Weights of logarithmic type
• Compactness properties of weighted summation operators on trees–-the critical case
• Bounds for entropy numbers for some critical operators
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