# Entropy and approximation numbers of embeddings between weighted Besov spaces

Banach Center Publications (2008)

- Volume: 79, Issue: 1, page 173-185
- ISSN: 0137-6934

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topIwona Piotrowska. "Entropy and approximation numbers of embeddings between weighted Besov spaces." Banach Center Publications 79.1 (2008): 173-185. <http://eudml.org/doc/282136>.

@article{IwonaPiotrowska2008,

abstract = {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
$tr_\{Γ\}: B^\{s\}_\{p₁,q\} (ℝⁿ,w_\{ϰ\}^\{Γ\}) → L_\{p₂\}(Γ)$,
where Γ is a d-set with 0 < d < n and $w_\{ϰ\}^\{Γ\}$ a weight of type $w_\{ϰ\}^\{Γ\}(x) ~ dist(x,Γ)^\{ϰ\}$ near Γ with ϰ > -(n-d). There are parallel results for approximation numbers.},

author = {Iwona Piotrowska},

journal = {Banach Center Publications},

keywords = {entropy numbers; approximation numbers; weighted function spaces; Muckenhoupt weights; -sets; ; Ψmathvariantupright)},

language = {eng},

number = {1},

pages = {173-185},

title = {Entropy and approximation numbers of embeddings between weighted Besov spaces},

url = {http://eudml.org/doc/282136},

volume = {79},

year = {2008},

}

TY - JOUR

AU - Iwona Piotrowska

TI - Entropy and approximation numbers of embeddings between weighted Besov spaces

JO - Banach Center Publications

PY - 2008

VL - 79

IS - 1

SP - 173

EP - 185

AB - 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
$tr_{Γ}: B^{s}_{p₁,q} (ℝⁿ,w_{ϰ}^{Γ}) → L_{p₂}(Γ)$,
where Γ is a d-set with 0 < d < n and $w_{ϰ}^{Γ}$ a weight of type $w_{ϰ}^{Γ}(x) ~ dist(x,Γ)^{ϰ}$ near Γ with ϰ > -(n-d). There are parallel results for approximation numbers.

LA - eng

KW - entropy numbers; approximation numbers; weighted function spaces; Muckenhoupt weights; -sets; ; Ψmathvariantupright)

UR - http://eudml.org/doc/282136

ER -

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