Kolmogorov widths of Sobolev classes on an irregular domain

DOI10.1134/S0081543813010033zbMath1297.46025MaRDI QIDQ2446171

O. V. Besov

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesKolmogorov widths

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) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (8)

Estimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases ⋮ Widths of Sobolev weight classes on a domain with cusp ⋮ Widths of weighted Sobolev classes on a John domain: strong singularity at a point ⋮ Widths of weighted Sobolev classes on a John domain ⋮ Widths of function classes on sets with tree-like structure ⋮ Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order \(r\) and zero ⋮ Unnamed Item ⋮ Widths of weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set: some limit cases

Cites Work

• Continuity of embeddings of weighted Sobolev spaces in Lebesgue spaces on anisotropically irregular domains
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
• Integral estimates for differentiable functions on irregular domains
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