Entropy and approximation numbers of embeddings of weighted Sobolev spaces

Therese Mieth ^[1]
1. [1] Friedrich-Schiller-University Jena (Germany)
Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 192, Nº 1 (April 2015), 2015, págs. 250-272
Idioma: inglés
DOI: 10.1016/j.jat.2014.12.009
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Resumen
- This paper examines the asymptotic behaviour of entropy and approximation numbers of compact embeddings of weighted Sobolev spaces into Lebesgue spaces. We consider admissible weights multiplied by a polynomial. The main results are related to the distribution of eigenvalues of some degenerate elliptic operators.