1) Littlewood-Paley operator
Littlewood-Paley算子
1.
Boundedness of the Littlewood-Paley operators on Lipschitz functions on a space of homogenous type;
齐型空间上Littlewood-Paley算子在Lipschitz函数类上的有界性
2.
Properties of a kind of generalized Littlewood-Paley operators;
一类推广的Littlewood-Paley算子的性质
3.
Boundedness for multilinear commutator of Littlewood-Paley operator on some Hardy spaces;
Littlewood-Paley算子的多线性交换子在Hardy型空间的有界性
2) Littlewood-Paley operators
Littlewood-Paley算子
1.
Boundedness of commutators of Littlewood-Paley operators on weighted Herz-Hardy spaces;
Littlewood-Paley算子交换子在加权Herz型Hardy空间上的有界性
2.
CBMO estimates for commutators and Littlewood-Paley operators on Herz-Hardy spaces
Littlewood-Paley算子交换子在Herz型Hardy空间上的CBMO估计
3.
In this paper,the author introduces the Herz-Hardy space and discuss es the boundedness of commutators of Littlewood-Paley operators on it.
本文介绍了Herz-Hardy空间及其性质,利用原子分解证明了Littlewood-Paley算子交换子在该空间上的有界性。
3) parametrized Littlewood-Paley operator
参数型Littlewood-Paley算子
1.
Boundedness of parametrized Littlewood-Paley operators in Morrey spaces with non-doubling measures is obtained.
同时还建立了参数型Littlewood-Paley算子在非倍测度空间上的Morrey空间中的有界性。
4) function of Littlewood-Paley
Littlewood-Paley函数
5) Littlewood-Paley wavelet
Littlewood-Paley小波
1.
This paper uses a multi-resolution analysis method in wavelet analysis,and through the quality that Littlewood-Paley wavelet decays with high-frequency in the frequency domain,considers the approximation of the solution of the Laplace equation s initial value.
利用小波分析中的多分辨率分析方法,借助Littlewood-Paley小波在频域上的高频衰变性,把Laplace方程在边界条件下的解投影到紧支撑函数空间,来考虑Laplace方程初值问题的正则解。
6) Littlewood-Paley decomposition
Littlewood-Paley分解
补充资料:凹算子与凸算子
凹算子与凸算子
concave and convex operators
凹算子与凸算子「阴~皿d阴vex.耳阳.勿韶;.留叮.肠疽“‘.小啊j阅雌口叹甲司 半序空间中的非线性算子,类似于一个实变量的凹函数与凸函数. 一个Banach空间中的在某个锥K上是正的非线性算子A,称为凹的(concave)(更确切地,在K上u。凹的),如果 l)对任何的非零元x任K,下面的不等式成立: a(x)u。(Ax续斑x)u。,这里u。是K的某个固定的非零元,以x)与口(x)是正的纯量函数; 2)对每个使得 at(x)u。续x《月1(x)u。,al,月l>0,成立的x‘K,下面的关系成立二 A(tx))(l+,(x,t))tA(x),0
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