Besov spaces on spaces of homogeneous type and fractals

@article{DachunYang2003,
abstract = {Let Γ be a compact d-set in ℝⁿ with 0 < d ≤ n, which includes various kinds of fractals. The author shows that the Besov spaces $B^s_\{pq\}(Γ)$ defined by two different and equivalent methods, namely, via traces and quarkonial decompositions in the sense of Triebel are the same spaces as those obtained by regarding Γ as a space of homogeneous type when 0 < s < 1, 1 < p < ∞ and 1 ≤ q ≤ ∞.},
author = {Dachun Yang},
journal = {Studia Mathematica},
keywords = {function spaces; Besov spaces; fractals},
language = {eng},
number = {1},
pages = {15-30},
title = {Besov spaces on spaces of homogeneous type and fractals},
url = {http://eudml.org/doc/285045},
volume = {156},
year = {2003},
}

TY - JOUR
AU - Dachun Yang
TI - Besov spaces on spaces of homogeneous type and fractals
JO - Studia Mathematica
PY - 2003
VL - 156
IS - 1
SP - 15
EP - 30
AB - Let Γ be a compact d-set in ℝⁿ with 0 < d ≤ n, which includes various kinds of fractals. The author shows that the Besov spaces $B^s_{pq}(Γ)$ defined by two different and equivalent methods, namely, via traces and quarkonial decompositions in the sense of Triebel are the same spaces as those obtained by regarding Γ as a space of homogeneous type when 0 < s < 1, 1 < p < ∞ and 1 ≤ q ≤ ∞.
LA - eng
KW - function spaces; Besov spaces; fractals
UR - http://eudml.org/doc/285045
ER -