Estimates of the approximation numbers of an imbedding operator for spaces of Sobolev type with weights

zbMath0616.46035MaRDI QIDQ1821306

P. I. Lizorkin, Muhtarbay Otelbaev

Publication date: 1987

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

zbMATH Keywords

Sobolev weighted spacesupper estimatesapproximation numbers of the imbedding operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (4)

Linear widths of weighted Sobolev classes with conditions on the highest order and zero derivatives ⋮ Bounds for the Kolmogorov widths of the Sobolev weighted classes with conditions on the zero and highest derivatives ⋮ ORDER ESTIMATES FOR THE KOLMOGOROV WIDTHS OF WEIGHTED SOBOLEV CLASSES WITH RESTRICTIONS ON DERIVATIVES ⋮ Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order \(r\) and zero

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