Functional Analysis, Harmonic Analysis, and Image Processing
Functional Analysis, Harmonic Analysis, and Image Processing
复制标题
DOI：
10.1090/conm/693
复制
发表时间：
2017-07
期刊：
影响因子：
--
通讯作者：
M. Cwikel;Mario Milman
中科院分区：
文献类型：
--
作者：
M. Cwikel;Mario Milman
Frazier和Jawerth最有影响力的贡献之一是在分布空间上构造离散分解变换，即所谓的&变换。本文引入并研究了齐次混合范数Besov空间。此外，我们得到了一个混合范数扩展的&变换在此发展。这种离散分解是新的，即使是非齐次混合范数Besov空间，所以我们也适应我们的结果的非齐次的情况。
One of the most influential contributions of Frazier and Jawerth is the construction of the discrete decomposition transformation, the so-called &-transform, on spaces of distributions. In this article we introduce and study homogeneous mixed-norm Besov spaces. Furthermore we obtain a mixed-norm extension of the &-transform in this development. This discrete decomposition is new even for inhomogeneous mixed-norm Besov spaces and so we also adapt our results to the inhomogeneous case.