齐次Morrey-Herz空间上广义Riesz变换Boundedness of generalized Riesz transform and its commutator on the homogeneous Morrey-Herz spaces
杨明华;许明;杨晓转;
摘要(Abstract):
主要研究与二阶散度型椭圆算子L相伴的Riesz变换▽L-1/2"及其与BMO(Rn)函数生成的交换子,采用对函数进行环形分解的技术和对算子转化为相应的截断算子的方法,得出它们从MKp1,qα,λ(Rn)到MKp2,qα,λ(Rn)是有界的,从而推广了以前学者的结论.
关键词(KeyWords): 椭圆算子;交换子;齐次Morrey-Herz空间;Riesz变换;BMO(Rn)
基金项目(Foundation): 国家自然科学基金(10771221);; 暨南大学青年自然科学基金(51208036
作者(Authors): 杨明华;许明;杨晓转;
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