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

AbstractIn this paper, we determine the asymptotic degree of the linear average and stochastic n-widths of the compact embeddings Bq0s+t(Lp0(Ω))↪Bq1s(Lp1(Ω)),t>max{d(1/p0−1/p1),0},1≤p0,p1,q0,q1≤∞, where Bq0s+t(Lp0(Ω)) is a Besov space defined on the bounded Lipschitz domain Ω⊂Rd