Approximation and entropy numbers of compact Sobolev embeddings

Leszek Skrzypczak

Banach Center Publications (2006)

  • Volume: 72, Issue: 1, page 309-326
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Leszek Skrzypczak. "Approximation and entropy numbers of compact Sobolev embeddings." Banach Center Publications 72.1 (2006): 309-326. <http://eudml.org/doc/282304>.

@article{LeszekSkrzypczak2006,
abstract = {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.},
author = {Leszek Skrzypczak},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {309-326},
title = {Approximation and entropy numbers of compact Sobolev embeddings},
url = {http://eudml.org/doc/282304},
volume = {72},
year = {2006},
}

TY - JOUR
AU - Leszek Skrzypczak
TI - Approximation and entropy numbers of compact Sobolev embeddings
JO - Banach Center Publications
PY - 2006
VL - 72
IS - 1
SP - 309
EP - 326
AB - 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.
LA - eng
UR - http://eudml.org/doc/282304
ER -

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