Kolmogorov widths of weighted Sobolev classes on a domain for a special class of weights

DOI10.1134/S1061920811030083zbMath1272.46029OpenAlexW1966270485MaRDI QIDQ455598

A. A. Vasil'eva

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920811030083

zbMATH Keywords

approximation numbersKolmogorov \(n\)-widthweighted Sobolev classeslinear \(n\)-width

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Cites Work

• Entropy numbers of embeddings of function spaces with Muckenhoupt weights. III: Some limiting cases
• Weighted inequalities of Hardy type
• On the relation between linear n-widths and approximation numbers
• Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights. I
• n-ieme epaisseur dans les espaces de Sobolev
• Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval
• On the compactness of embeddings of weighted Sobolev spaces on a domain with an irregular boundary.
• Nonlinear potential theory and weighted Sobolev spaces
• Remainder estimates for the approximation numbers of weighted Hardy operators acting on \(L^2\)
• Improved estimates for the approximation numbers of Hardy-type operators.
• Some necessary and some sufficient conditions for the compactness of the embedding of weighted Sobolev spaces
• Sobolev's embedding theorem for a domain with irregular boundary
• Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, II. General weights
• Asymptotic estimates for the approximation and entropy numbers of a one-weight Riemann-Liouville operator
• Weighted Norm Inequalities for Certain Integral Operators
• Weighted Sobolev spaces and embedding theorems
• Weighted Norm Inequalities for Certain Integral Operators. II
• Weighted Norm Inequalities for the Riemann-Liouville and Weyl Fractional Integral Operators
• s-Numbers of operators in Banach spaces
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
• Nonlinear approximation and the space BV[inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]
• Two-sided estimates for the approximation numbers of Hardy-type operators in $L^{∞}$ and L¹
• On the Boundedness and Compactness of a Class of Integral Operators
• Approximation and entropy numbers of Volterra operators with application to Brownian motion
• Some s‐numbers of embeddings of function spaces with weights of logarithmic type
• Approximation numbers and Kolmogorov widths of Hardy‐type operators in a non‐homogeneous case
• PIECEWISE-POLYNOMIAL APPROXIMATIONS OF FUNCTIONS OF THE CLASSES $ W_{p}^{\alpha}$
• Integral estimates for differentiable functions on irregular domains
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