共查询到17条相似文献,搜索用时 62 毫秒
1.
2.
This paper focuses on the study of the boundedness of convolution-type Calderón-Zygmund operators on some endpoint Triebel-Lizorkin spaces. Applying wavelets, molecular decomposition and interpolation theory, the author establishes the boundedness on certain endpoint Triebel-Lizorkin spaces F˙10 ,q(2 q ≤ ∞) under a very weak pointwise regularity condition. 相似文献
3.
5.
本文研究了一类粗糙奇异积分算子的加权Triebel-Lizorkin有界性.对核函数Ω∈L log+L(Sn-1)建立了径向权函数的加权有界性;而对于核函数Ω∈Lr(Sn-1),1<r≤∞,得到了一般的Muckenhopt权函数的加权有界性. 相似文献
6.
应用核的分解,讨论了粗糙核奇异积分算子
Tf(x)=p.v.∫R^nΩ(x-y)/|x-y|^nf(y)dy
和BMO(R^n)函数b生成的交换子[b,T]的有界性.证明了当Ω∈L(logL)^2(S^n-1)时,[b,T]是Triebel—Lizorhn空间Fp^α,q(R^n)上的有界算子. 相似文献
7.
利用Clifford分析工具,给出了Lipschitz曲面上Besov空间与Triebel-Lizorkin空间定义,并研究其特征刻划. 相似文献
8.
设A为一个n×n阶实扩张矩阵,引入了一类奇异积分核,并得到由此导出的算子在伴随于伸缩A的各向异性Hardy空间的有界性. 相似文献
9.
10.
本文给出了一类带可变核的奇异积分算子的(Hp,Lp)有界性及分数次积分算子的(Hp,Lq)有界性(0
相似文献
12.
Dashan Fan & Fayou Zhao 《分析论及其应用》2021,37(3):267-288
We establish Littlewood-Paley characterizations of Triebel-Lizorkin spaces and Besov spaces in Euclidean spaces using several square functions defined via the spherical average, the ball average, the Bochner-Riesz means and some other well-known operators. We provide a simple proof so that we are able to extend and improve many results published in recent papers. 相似文献
13.
14.
Chenglong Fang & Jiang Zhou 《数学研究》2021,54(3):227-249
In this paper, 2-microlocal Herz type Besov and Triebel-Lizorkin spaces with
variable exponents are introduced for the first time. Then, we give characterizations of
these spaces by so-called Peetre's maximal functions. Further, the atomic and molecular decompositions of these spaces are obtained. Finally, using the characterizations of
the spaces by local means and molecular decomposition we obtain the wavelet characterizations. 相似文献
15.
Yali Pan & Changwen Li 《分析论及其应用》2015,31(4):373-380
In this paper, by using the atomic decomposition of the weighted weak Hardy space WH_ω~1(R~n), the authors discuss a class of multilinear oscillatory singular integrals and obtain their boundedness from the weighted weak Hardy space WH_ω~1(R~n) to the weighted weak Lebesgue space WL_ω~1(R~n) for ω∈A_1(R~n). 相似文献
16.
Abstract In this paper, we study multilinear oscillatory singular integrals with rough kernel, and give a criterion of certain boundedness for this kind of operator Research supported by NNSF of China (No.19131080) and NEDF of China 相似文献
17.
In this article, we obtain the L p-boundedness of commutators of Lipschitz functions and singular integrals with non-smooth kernels on Euclidean spaces. 相似文献