期刊文献+

次线性算子的多线性交换子在齐型Morrey空间上的有界性 被引量:1

Boundness of Multi-linear Commutators in Homogeneous Morrey Space
下载PDF
导出
摘要 主要讨论了满足不等式|Tf(x)|≤C∫Rn|f(y)||x-y|ndy的次线性算子T与BMO函数生成的多线性交换子Tb在齐型Morrey空间上的有界性,得到了在Lp(Rn)有界的情况下,Tb是Mqp(Rn)有界的.并由此得出在Lp(Rn)有界的情况下,当δ=n-12时,Bochner-Riesz算子的多线性交换子Bbδ和极大多线性交换子Bbδ*也是Mqp(Rn)有界的. The boundness of multi-linear commutators Tb in homogeneous Morrey space which are generated by sub-linear operator T and BMO function is discussed in this paper.We obtain the boundness Mqp (Rn) of Tb.We also get the Mpq (Rn) boundness of Bochner-Riesz multi-linear commutators Bbδ and maximal multi-linear commutators Bbδ,with δ =n-1/2.
作者 赵蕾 邓宇龙
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第6期820-823,共4页 Journal of Sichuan Normal University(Natural Science)
基金 国家自然科学基金(61202463)资助项目
关键词 次线性算子 多线性交换子 Mqp(Rn)有界 齐型Morrey空间 sub-linear operator multi-linear commutators Mqp (Rn) boundness homogeneous Morrey space
  • 相关文献

参考文献4

二级参考文献14

  • 1Wainger S. Special trigonometric series in k-dimensions[J]. Mem Amer Math Soc, 1965, (59) :59-98.
  • 2Fefferman C, Stein E M. Hp spaces of several varialbles[J]. Acta Math, 1972, 129 : 137-193.
  • 3Chanillo S. Weighed norm inequalities for strongly singular convolution operators[J]. Trans Amer Math. Soc, 1984, 281:77-107.
  • 4Garcia-Cuerva J, Harboure E, Segovia C, et al. Weighted norm inequalities for commtators of strongly singular intergrals[J]. Indiana Univ Math, 1991, 40:1397-1420.
  • 5Lu S Z, Yang D C. The continuity of commutators on Herz-type spaces[J]. Michigan Math, 1997, 44:255-280.
  • 6Stein E M. Singular integrals and differentiability properties of Functions[M]. Princeton New Jersey:Princeton University Press, 1970.
  • 7Lu Shanzhen,Tang Lin,Yang Dachun. Boundedness of commutators on homogeneous Herz spaces[J] 1998,Science in China Series A: Mathematics(10):1023~1033
  • 8许春蕊,郭景芳,倪志仁.齐型空间上两类交换子的有界性[J].河北科技大学学报,2008,29(2):92-95. 被引量:2
  • 9胡国恩,王卫红.齐型空间上极大交换子的一个加权估计[J].数学学报(中文版),2010,53(1):141-152. 被引量:6
  • 10GAO Wen-hua,JIANG Yin-sheng,GONG Xiao-bing.Boundedness of Linear Commutators on Herz-Morrey Spaces on Spaces of Homogeneous Type[J].Chinese Quarterly Journal of Mathematics,2010,25(2):172-181. 被引量:3

共引文献11

同被引文献2

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部