Entropy and approximation numbers of embeddings between weighted Besov spaces

Iwona Piotrowska

Banach Center Publications, Tome 83 (2008), p. 173-185 / Harvested from The Polish Digital Mathematics Library

Résumé

The present paper is devoted to the study of the “quality” of the compactness of the trace operator. More precisely, we characterize the asymptotic behaviour of entropy numbers of the compact map $t r_{Γ} : B_{p ₁, q}^{s} (ℝ ⁿ, w_{ϰ}^{Γ}) \to L_{p ₂} (Γ)$ , where Γ is a d-set with 0 < d < n and $w_{ϰ}^{Γ}$ a weight of type $w_{ϰ}^{Γ} (x) d i s t {(x, Γ)}^{ϰ}$ near Γ with ϰ > -(n-d). There are parallel results for approximation numbers.

Publié le : 2008-01-01

Zbl 1145.46019

EUDML-ID : urn:eudml:doc:282136

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     author = {Iwona Piotrowska},
     title = {Entropy and approximation numbers of embeddings between weighted Besov spaces},
     journal = {Banach Center Publications},
     volume = {83},
     year = {2008},
     pages = {173-185},
     zbl = {1145.46019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-14}
}

Iwona Piotrowska. Entropy and approximation numbers of embeddings between weighted Besov spaces. Banach Center Publications, Tome 83 (2008) pp. 173-185. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-14/