期刊文献+

关于多线性分数次奇异积分的一个注(英文)

A Note of the Fractional Multilinear Singular Integral
下载PDF
导出
摘要 本文讨论了与奇异积分高阶交换子类似的多线性分数次算子在Hardy空间的Lipschitz有界性. In this paper, a sufficient condition for Lipschitz boundedness of a class of fractional multilinear operators on Hardy spaces has been given, which is similar to the higherorder commutator for the singular integral.
作者 杜鸿 兰家诚
机构地区 丽水学院数学系
出处 《安徽师范大学学报(自然科学版)》 CAS 2007年第1期4-7,共4页 Journal of Anhui Normal University(Natural Science)
基金 Zhejiang Provincial Natural Science Foundation of China under Grant(No.M103069) Education Dept.of Zhejiang Province(20021022).
关键词 多线性算子 LIPSCHITZ空间 L3- DINI条件 分数次积分 multilinear operator Lipschitz spaces Ls- Dini condition fractional integral
  • 相关文献

参考文献6

二级参考文献15

  • 1陆善镇,燕敦验.L^p-boundedness of multilinear oscillatory singular integrals with Calderón-Zygmund kernel[J].Science China Mathematics,2002,45(2):196-213. 被引量:10
  • 2Ding Y.Weak type bounds for a class of rough operators with power weights[].Proceedings of the American Mathematical Society.1997
  • 3Bajanski B,Coifman R.On singular integrals[].ProcSymposPure MathAmerMathSoc.1967
  • 4Cohen J.A sharp estimate for a multilinear singular integral on Rn[].Indiana University Mathematics Journal.1981
  • 5Cohen J,Gosselin J.A BMO estimate for multilinear singular integrals[].Illinois Journal of Mathematics.1986
  • 6Garcia-Cuerva J,Rubio de Francia JL.Weighted norm inequalities and related topics[].North-Holland Mathematics Studies.1985
  • 7L. Hedberg.On certain convolution inequalities[].Proceedings of the American Mathematical Society.1972
  • 8Y. Ding.On the commutators for a class of rough operators, (in Chinese), Chinese Ann[].Mathematica Journal.1998
  • 9S.Hofmann.On some nonstandard Calderón-Zygmund operators[].Studia Mathematica.1994
  • 10Y.Ding.Weighted boundedness of commutators for a class of rough maximal operators[].Kexue Tongbao.1996

共引文献43

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