Entropy and approximation numbers of embeddings between weighted Besov spaces

Iwona 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; ; &#x03A8;mathvariantupright)},
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; ; &#x03A8;mathvariantupright)
UR - http://eudml.org/doc/282136
ER -