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Besov characteristic of a distribution
被引:0
|作者:
Vedel, Beatrice
[1
]
机构:
[1] Univ Paris 12, Lab Anal & Math Appl, F-94010 Creteil, France
来源:
REVISTA MATEMATICA COMPLUTENSE
|
2007年
/
20卷
/
02期
关键词:
Besov spaces;
wavelet analysis;
weighted Besov spaces;
anisotropic Besov spaces;
anisotropic wavelet analysis;
D O I:
暂无
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
The Besov characteristic of a distribution f is the function s(f) defined for 0 <= t < infinity by s(f) (t) = sup{s epsilon R; f epsilon B-1/t,1(s)(R-n)}. We give in this paper a criterion for a function Gamma defined on [0, +infinity] to be the Besov characteristic of a distribution. Generalizations of this criterion to particular weighted Besov spaces and to anisotropic Besov spaces are also given.
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页码:407 / 421
页数:15
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