具有光滑核的分数次积分算子的交换子的Besov估计

Besov Estimates For Commutators of Fractional Integrals with Smooth Kernel

讨论了Besov函数与具有光滑核的分数次积分算子生成的交换子b,TΩ,α在哈代空间上的连续性,得到如下结论:当b∈∧.βp,q,Ω(x)∈C1(Rn)时,在一定条件下,证明了b,TΩ,α是从Hd(Rn)到Lr(Rn)有界的。

The paper will dicuss the continuity of commutators generated by the functions in Besov spaces and fractional integrals with smooth kernels. When b ∈∧p,q^B and Ω（x）∈C^1（R^n）,[b,TΩ,α] is bounded from H^d（R^n）into L^r（R^n） under some other conditions.