分数次积分交换子的一个端点估计

设0<β<1,α,β0<αnn-α.给出了当p=nn+β时,分数次积分I与L ipsch itz函数b的交换子从局部H ardy空间hp(Rn)到空间hp(Rn)+Lq(Rn)上的有界性估计.

An Endpoint Estimates for Commutators of Fractional Integral

Let 0<β<1,a≥β,0n/n-a.给出了当p=n/n+β,wo show that the commutator associated with the fractional integral I_α and b ∈ Lipβ(R~n) is bounded from local Hardy space h~p(R~n) to h~p(R~n) + L~q(R~n).