2007•Journal of Mathematical Research and ExpositionRequires access

Boundedness of Higher Order Commutators of Fractional Integral Operators on Homogeneous Morrey-Herz Spaces

Jianlong Wu

Abstract

Some boundedness results are established in the setting of homogeneous Morrey- Herz spaces for a class of higher order commutators T_(b,l)~m and M_(b,l)~m generated by fractional integral operators T_l and maximal fractional operators M_l with function b(x)in BMO(R~n), respectively.

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Key concepts: Mathematics, Homogeneous, Order (exchange), Pure mathematics, Class (philosophy), Mathematical analysis, Fractional calculus, Function (biology)