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Weak estimates for commutators of fractional integral operators 被引量:15

Weak estimates for commutators of fractional integral operators
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摘要 By introducing a kind of maximal operator of the fractional order associated with the mean Luxemburg norm and using the technique of the sharp function,the weak type LlogL estimates for the commutators of the fractional integral operator and the related maximal operator are established. By introducing a kind of maximal operator of the fractional order associated with the mean Luxemburg norm and using the technique of the sharp function, the weak type LlogL estimates for the commutators of the fractional integral operator and the related maximal operator are established.
出处 《Science China Mathematics》 SCIE 2001年第7期877-888,共12页 中国科学:数学(英文版)
基金 This work was supported by 973 Project of China, the National Natural Science Foundation of China (Grant No. 19971010) and DPFIHEC (Grant No. 98002703).
关键词 Fractional integral COMMUTATOR Sharp function Young function Luxemburg norm 部分积分;整流器;突然地工作;年轻功能;罗森堡标准;
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参考文献2

  • 1Yong Ding,Shanzhen Lu.Higher order commutators for a class of rough operators[J].Arkiv f?r matematik.1999(1) 被引量:1
  • 2C. Fefferman,E. M. Stein.H p spaces of several variables[J].Acta Mathematica.1972(1) 被引量:1

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