期刊文献+

带变量核的Marcinkiewicz积分交换子的加权Lipschitz估计 被引量:20

WEIGHTED LIPSCHITZ ESTIMATES FOR COMMUTATOR OF MARCINKIEWICZ INTEGRALS
原文传递
导出
摘要 利用Sharp极大函数,证明了带变量核的Marcinkiewicz积分算子μ_Ω和某一类加权Lipschitz空间的函数b生成的交换子μ_Ω~b是由L^p(v)到L^q(v^(1-q))的有界算子. In this paper, by using Sharp maximal function, it is shown that the commu- tatorμbΩ, generated by the Marcinkiewicz integral operator μΩ and some weighted Lipschitz function b, is a bounded operator from LP(v) to Lq(vl-q).
出处 《系统科学与数学》 CSCD 北大核心 2012年第7期915-921,共7页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(11161042 11071250)资助课题
关键词 交换子 加权Lipschitz空间 Marcinkiewicz积分. Commutator, weighted Lipschitz spaces, Marcinkiewicz integral
  • 相关文献

参考文献7

  • 1Torchinsky A, Wang S L. A note on Marcinkiewicz integral. Coll. Math., 1993, 60: 235-243.
  • 2Ding Y, Lu S Z, Yabuta K. On commutator of Marcinkiewicz integrals with rough kernel. Journ. Math. Anal. Appl., 2002, 275: 60-68.
  • 3Hu G, Yan D. On the commutator of a homogeneous Marcinkiewicz integral. Journ. Math. Anal. Appl., 2003, 283: 351-361.
  • 4Lu S, Wu H X. On the commutators of singular integrals related to block spaces. Nagoya Math. J., 2004, 173: 205-223.
  • 5Bloom S. A commutator theorem and weighted BMO. Trans Amer. Math. Soc., 1985, 292: 103- 122.
  • 6Hu B, Gu J. Necessary and sufficient conditions for boundedness of commutators with weighted Lipschitz function. Journ. Math. Anal. Appl., 2008, 340(1): 598-605.
  • 7Garcia-cuerva J, Rubio defrancia J L. Weighted Norm Inequalities and Related Top Ics. New York: North-Holland Amsterdam, 1995.

同被引文献97

引证文献20

二级引证文献24

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