非二倍测度条件下分数次积分的交换子

Commutators of fractional integrals for nondoubling measures

在非二倍测度条件下引入分数次积分算子Iα,并讨论Iα与有界平均振动函数b∈RBMO构成的交换子[b,Iα]是从Lp(μ)到Lp(μ)的有界算子。

The fractional integral operatoron Ia nondoubling measure is introduced, and that the commutator [ b, Ia ] of fractional integral Ia with bounded mean oscillation function b ∈ RBMO is bounded operator from L^p（μ） to L^p（μ ） is discussed.