ORDER ESTIMATES FOR THE KOLMOGOROV WIDTHS OF WEIGHTED SOBOLEV CLASSES WITH RESTRICTIONS ON DERIVATIVES

DOI10.32523/2077-9879-2020-11-4-95-100zbMath1474.41073OpenAlexW3115991604MaRDI QIDQ4963459

Anastasia Andreevna Vasil'Eva

Publication date: 18 February 2021

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

Full work available at URL: http://mathnet.ru/eng/emj386

zbMATH Keywords

Kolmogorov widthsweighted Sobolev classesintersections of function classes

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Cites Work

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• Entropy and approximation numbers of weighted Sobolev spaces via bracketing
• Entropy and approximation numbers of limiting embeddings; an approach via Hardy inequalities and quadratic forms
• Approximation of some classes of functions by local splines
• Estimates of the approximation numbers of an imbedding operator for spaces of Sobolev type with weights
• The Kolmogorov diameter of the intersection of classes of periodic functions and of finite-dimensional sets
• Weighted spaces and weighted norm inequalities on irregular domains
• Widths of function classes on sets with tree-like structure
• Entropy and approximation numbers of embeddings of weighted Sobolev spaces
• Sobolev's embedding theorem for a domain with irregular boundary
• IMBEDDING THEOREMS AND COMPACTNESS FOR SPACES OF SOBOLEV TYPE WITH WEIGHTS
• IMBEDDING THEOREMS AND COMPACTNESS FOR SPACES OF SOBOLEV TYPE WITH WEIGHTS. II
• On Weighted Norm Inequalities with Three Weights
• Embedding the weighted Sobolev space $ W^l_p(\Omega;v)$ in the space $ L_p(\Omega;\omega)$

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