安阳师范学院学报
安暘師範學院學報
안양사범학원학보
Journal of Anyang Normal University
2015年
5期
10-13
,共4页
Schr?dinger算子%交换子%反向H?lder不等式%Sharp极大函数:BMOV(Rd)
Schr?dinger算子%交換子%反嚮H?lder不等式%Sharp極大函數:BMOV(Rd)
Schr?dinger산자%교환자%반향H?lder불등식%Sharp겁대함수:BMOV(Rd)
Schr?dinger operators%Commutators%Reverse H?lder iequality%Sharp maximal function%BMOV ( Rd )
二进Sharp 极大函数定义为M#V f(x) = sup x∈Q,r< 1/mV(x0)1/|Q|∫Q(x0,r)|f(x -fQ)|dx+supx∈Q,r≥1/mV(x0)1/ψ(Q)|Q|∫Q(x0,r)|f(x)|dx,其中Q为二进方体,fQ =1/Q∫Qf(x)dx.本文主要考虑了交换子M#V([b,T])f,(x)在Lp空间上的一个估计.其中b(x)是新BMO函数, T是Schr?dinger型算子.
二進Sharp 極大函數定義為M#V f(x) = sup x∈Q,r< 1/mV(x0)1/|Q|∫Q(x0,r)|f(x -fQ)|dx+supx∈Q,r≥1/mV(x0)1/ψ(Q)|Q|∫Q(x0,r)|f(x)|dx,其中Q為二進方體,fQ =1/Q∫Qf(x)dx.本文主要攷慮瞭交換子M#V([b,T])f,(x)在Lp空間上的一箇估計.其中b(x)是新BMO函數, T是Schr?dinger型算子.
이진Sharp 겁대함수정의위M#V f(x) = sup x∈Q,r< 1/mV(x0)1/|Q|∫Q(x0,r)|f(x -fQ)|dx+supx∈Q,r≥1/mV(x0)1/ψ(Q)|Q|∫Q(x0,r)|f(x)|dx,기중Q위이진방체,fQ =1/Q∫Qf(x)dx.본문주요고필료교환자M#V([b,T])f,(x)재Lp공간상적일개고계.기중b(x)시신BMO함수, T시Schr?dinger형산자.
An estimate is obtained on L spaces for Maximal Operators of Commutators Associated to Schr?dinger and New BMO Functions , where the sharp function is defined by M#V f(x) = sup x∈Q,r< 1/mV(x0)1/|Q|∫Q(x0,r)|f(x -fQ)|dx+sup x∈Q,r≥1/mV(x0)1/ψ(Q)|Q|∫Q(x0,r)|f(x)|dx, the Q is dyadic cubes , fQ =1/Q∫Qf(x)dx .
