Widths of embeddings in function spaces

Authors:
Jan Vybíral
Affiliations:
Mathematisches Institut, Universität Jena, Ernst-Abbe-Platz 2, 07743 Jena, Germany
Venue:
Journal of Complexity
Year:
2008

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Abstract

We study the approximation, Gelfand and Kolmogorov numbers of embeddings in function spaces of Besov and Triebel-Lizorkin type. Our aim here is to provide sharp estimates in several cases left open in the literature and give a complete overview of the known results. We also add some historical remarks.