Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable Exponents

oleh: Liwei Wang

Format: Article
Diterbitkan: Wiley 2014-01-01

Deskripsi

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.