On approximation numbers of Sobolev embeddings of weighted function spaces

Authors:
Leszek Skrzypczak
Affiliations:
Faculty of Mathematics and Computer Science, A. Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland
Venue:
Journal of Approximation Theory
Year:
2005

Citing 3
Cited 4

Spectral theory and differential operators

Spectral theory and differential operators
Eigenvalues and s-numbers

Eigenvalues and s-numbers
Approximation numbers in some weighted function spaces

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Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces

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Full length article: Widths of embeddings in weighted function spaces

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Full length article: Widths of embeddings of 2-microlocal Besov spaces

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Abstract

We investigate asymptotic behaviour of approximation numbers of Sobolev embeddings between weighted function spaces of Sobolev-Hardy-Besov type with polynomials weights. The exact estimates are proved in almost all cases.