摘要
设μΩb是由Marcinkiewicz积分交换子μΩ和b∈BMO(Rn)生成的交换子.证明了当零阶齐次函数Ω满足消失性及一类Lr-Dini条件时,μbΩ是从Hb1(Rn)到L1(Rn)有界的.
Let μΩb be the commutator generalized by the n-dimensional Marcinkiewicz integral μΩ and a founction b∈BMO(Rn).It is proved that Ω be homogeneous of degree zero and satisfies vanishing condition,and satisfies the Lr-Dini condition.Then μbΩ is bounded from Hb1(Rn) into L1(Rn).
出处
《哈尔滨师范大学自然科学学报》
CAS
2011年第4期26-29,共4页
Natural Science Journal of Harbin Normal University
