Some results on function spaces of varying smoothness

Jan Schneider. "Some results on function spaces of varying smoothness." Banach Center Publications 79.1 (2008): 187-195. <http://eudml.org/doc/281654>.

@article{JanSchneider2008,
abstract = {This paper deals with function spaces of varying smoothness $B^\{,s₀\}_p(ℝⁿ)$, where the function :x ↦ s(x) determines the smoothness pointwise. Those spaces were defined in [2] and treated also in [3]. Here we prove results about interpolation, trace properties and present a characterization of these spaces based on differences.},
author = {Jan Schneider},
journal = {Banach Center Publications},
keywords = {Besov spaces; varying smoothness; interpolation; traces; characterization by differences},
language = {eng},
number = {1},
pages = {187-195},
title = {Some results on function spaces of varying smoothness},
url = {http://eudml.org/doc/281654},
volume = {79},
year = {2008},
}

TY - JOUR
AU - Jan Schneider
TI - Some results on function spaces of varying smoothness
JO - Banach Center Publications
PY - 2008
VL - 79
IS - 1
SP - 187
EP - 195
AB - This paper deals with function spaces of varying smoothness $B^{,s₀}_p(ℝⁿ)$, where the function :x ↦ s(x) determines the smoothness pointwise. Those spaces were defined in [2] and treated also in [3]. Here we prove results about interpolation, trace properties and present a characterization of these spaces based on differences.
LA - eng
KW - Besov spaces; varying smoothness; interpolation; traces; characterization by differences
UR - http://eudml.org/doc/281654
ER -