Approximation and entropy numbers of compact Sobolev embeddings

• Autorzy: Leszek Skrzypczak
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 41A46: Approximation by arbitrary nonlinear expressions; widths and entropy

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 72
• Numer: 1
• Strony: 309-326

Daty

wydano

2006

Twórcy

autor

Leszek Skrzypczak

• Faculty of Mathematics and Computer Science, A. Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

Identyfikatory

DOI

10.4064/bc72-0-20