The aim of the paper is twofold. First we give a survey of some recent results concerning the asymptotic behavior of the entropy and approximation numbers of compact Sobolev embeddings. Second we prove new estimates of approximation numbers of embeddings of weighted Besov spaces in the so called limiting case.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-20, author = {Leszek Skrzypczak}, title = {Approximation and entropy numbers of compact Sobolev embeddings}, journal = {Banach Center Publications}, volume = {72}, year = {2006}, pages = {309-326}, zbl = {1113.46030}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-20} }
Leszek Skrzypczak. Approximation and entropy numbers of compact Sobolev embeddings. Banach Center Publications, Tome 72 (2006) pp. 309-326. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-20/