数学物理学报 ›› 2005, Vol. 25 ›› Issue (3): 357-361.

• 论文 • 上一篇    下一篇

多线性奇异积分算子的加权Lipschitz估计

兰家诚   

  1. 丽水学院数学系
  • 出版日期:2005-07-24 发布日期:2005-07-24
  • 基金资助:

    浙江省自然科学基金(M103069),浙江省教育厅科研基金(20021022)资助

The Weighted Lipschitz Estimates for Multilinear Singular Intergral

 LAN Jia-Cheng   

  • Online:2005-07-24 Published:2005-07-24
  • Supported by:

    浙江省自然科学基金(M103069),浙江省教育厅科研基金(20021022)资助

摘要:

该文讨论了一类多线性积分算子的加权Lipschitz有界性,通过将多线性积分算子用相应的分数次积分估计,得到一种简明的证明方法.

关键词: 多线性算子,Lipschitz空间,A(p,q)权,分数次积分

Abstract:

In this paper, the author shows the weighted Lipschitz boundedness for a cla ss of  multilinear operators, which is similar to the higher order commutator for the  singular integral. It is in a simple way that is closely  linked with a class of rough fractional integral operator.

Key words: Multilinear operator, Lipschitz spaces, A(p,q) weight, Fractio nal integral

中图分类号: 

  • 42B20