Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable Exponents

الملخص EN

Our aim in this paper is to give the boundedness of the Marcinkiewicz integral μΩ on Herz spaces K˙p(·)α(·),q(Rn) and Kp(·)α(·),q(Rn), where the two main indices are variable.

Meanwhile, we consider the boundedness of the higher order commutator μΩ,bm generated by μΩ and a function b in BMO(Rn) on these spaces.