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 fraction...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.展开更多
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).
文摘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.