Linear average and stochastic n-widths of Besov embeddings on Lipschitz domains

Authors:
Gensun Fang;Lixin Qian
Affiliations:
School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China and Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, China;School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China and Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, China and College of M ...
Venue:
Journal of Approximation Theory
Year:
2009

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Abstract

In this paper, we determine the asymptotic degree of the linear average and stochastic n-widths of the compact embeddings B"q"""0^s^+^t(L"p"""0(@W))@?B"q"""1^s(L"p"""1(@W)),tmax{d(1/p"0-1/p"1),0},1@?p"0,p"1,q"0,q"1@?~, where B"q"""0^s^+^t(L"p"""0(@W)) is a Besov space defined on the bounded Lipschitz domain @W@?R^d.