Marcinkiewicz积分交换子在非齐型Herz空间上的有界性

Boundedness of Commutator of Marcinkiewicz Integral in Heterogeneous Herz Space

本文主要考虑如下Marcinkiewicz积分交换子在非齐型Herz空间上的有界性Mb(f)(x)=(∫∞0∫x-y≤tK(x,y)b(x)-b(y)f(y)dμ(y)2dt3t)21.

This paper discusses the boundedness of commutator of Marcinkiewicz integral Mb（f）（x）=（∫0∞｜∫｜x-y｜≤t K（x,y）[b（x）-b（y）]f（y）dμ（y）｜2dt/t^3）1/2 in Herz space.