期刊文献+

广义权Morrey空间上一类拟微分交换子的紧性

Compactness of a Class of Pseudo-differential Commutators on the Generalized Weighted Morrey Spaces
下载PDF
导出
摘要 利用权不等式和实变方法,得到了一类具Hormander类拟微分算子和CMO函数生成的交换子在广义加权Morrey空间上的紧性. In this paper, by using the method of real variable function and the inequalities of weights, the compactness of commutators formed by pseudo-differential operators with Hormander’s class and CMO function were proved on the generalized weighted Morrey spaces.
作者 杨姣姣 YANG Jiao-jiao(School of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)
出处 《兰州文理学院学报(自然科学版)》 2020年第6期28-33,共6页 Journal of Lanzhou University of Arts and Science(Natural Sciences)
基金 国家自然科学基金资助项目(11561062)。
关键词 加权Morrey空间 Hormander类 拟微分算子 交换子 weighted Morrey space Hormander’s class pseudo-differential operator commutator
  • 相关文献

参考文献3

二级参考文献33

  • 1Lubomiea SOFTOVA.Singular Integrals and Commutators in Generalized Morrey Spaces[J].Acta Mathematica Sinica,English Series,2006,22(3):757-766. 被引量:14
  • 2MORREY C B. On the solutions of quasi-linear elliptic partial differential equations[J]. Trans Amer Math Soc, 1938, 43(1): 126-166.
  • 3KOMORI Y, SHIRAI S. Weighted Morrey spaces and a singular integral operator[J). Math Nachr, 2009, 282(2): 219-231.
  • 4ADAMS D R. A note on Riesz potentials(J]. Duke Math, 1975,42(4): 765-778.
  • 5CHIARENZA F, FRASCA M. Morrey spaces and Hardy-Littlewood maximal function[J). Rend Mat Appl, 1987, 7(3): 273-279.
  • 6PEETRE J. On the theory of Lp, A spaces[J). J Funet Anal, 1969, 4(1): 71-87.
  • 7王华.几类具有粗糙核的算子在加权Morrey空间上的有界性[J].ActaMathSinica(ChinSer),2012,55(4):589-600.
  • 8WANG Hua, LIU He-ping. Some estimates for Bochner-Riesz operators on the weighted Morrey spaces(J]. Acta Math Sinica(Chin Ser), 2012, 55(3): 551-560.
  • 9WANG Hua. Intrinsic square functions on the weighted Morrey spaces(J). Math Anal Appl, 2012, 396(1): 302-314.
  • 10MUCKENHOUPT B. Weighted norm inequalities for the Hardy maximal funetion(J). Trans Amer Math Soc, 1972, 165(2): 207-226.

共引文献6

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