2007•Advances in MathematicsRequires access

Boundedness of the Higher Order Commutators on the Homogeneous Morrey-Herz Space

Shuangping Tao, WU Jiang-long

Abstract

The boundedness results on the homogeneous Morrey-Herz spaces are estab- lished for some higher order commutators formed by sublinear operators with rough kernels and function a BMO(R~n) functions.And on Hardy-Littlewood maximal operators with rough ker- nels and the fractional versions,the boundedness on the homogeneous Morrey-Herz spaces is also obtained

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Key concepts: Mathematics, Sublinear function, Homogeneous, Order (exchange), Pure mathematics, Space (punctuation), Hardy space, Mathematical analysis