分数次积分交换子在加权Herz型Hardy空间上的有界性质
THE BOUNDEDNESS OF COMMUTATOR OF FRACTIONAL INTEGRALS ON WEIGHTED HERZ-TYPE HADRY SPACES

本文研究了由分数次积分Il与加权Lipschitz函数b生成的交换子[b,Il]在加权Herz型Hardy空间上的估计.利用加权Herz型Hardy空间的分解理论,得到了交换子[b,Il]从加权Herz型Hardy空间到(弱)加权Herz空间上的有界性质.
Let[b,Il] denote the commutator generated by fractional integral Il and weighted Lipschitz function b. By the theory of atomic decomposition of weighed Herz-type Hardy spaces, we investigate the boundedness of commutator[b,Iα] from weighted Herz-type Hardy spaces to (weak) weighted Herz-type spaces