抛物型奇异积分算子在Triebel-Lizorkin空间的有界性
- ISSN号:0583-1431
- 期刊名称:Acta Mathematicae Applicatae Sinica-English Series
- 时间:2011
- 页码:893-900
- 分类:O177.6[理学—数学;理学—基础数学] O177.3[理学—数学;理学—基础数学]
- 作者机构:[1]College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070,P.R. China.
- 相关基金:This research was supported in part by National Natural Foundation of China (Grant No. 11161042 and No. 11071250).
- 相关项目:抛物型Calderon交换子的有界性及其应用
关键词:
LITTLEWOOD-PALEY算子, 有界性, 粗糙核, 加权, 空间, 面积积分, 汞, Littlewood-Paley operator, weighted amalgam space, rough kernel, Ap weight.
中文摘要:
In this paper, we shall deal with the boundedness of the Littlewood-Paley operators with rough kernel. We prove the boundedness of the Lusin-area integral μΩ,s and Littlewood-Paley functions μΩ and μλ on the weighted amalgam spaces (Lqω ,Lp )α (Rn ) as 1 < q ≤α < p ≤∞.
英文摘要:
In this paper, we shall deal with the boundedness of the Littlewood-Paley operators with rough kernel. We prove the boundedness of the Lusin-area integral μΩs and Littlewood-Paley functions μΩ and μλ^* on the weighted amalgam spaces (Lω^q,L^p)^α(R^n)as 1〈q≤α〈p≤∞.