Commutators of Marcinkiewicz integrals with rough kernels on Herz-type Hardy spaces with variable exponent

Abstract

Let Ω ∈ L s (S n−1) for s 1 be homogeneous functions of degree zero and b be BMO functions. In this paper, we obtain some boundedness of the Marcinkiewicz integral operator μ Ω and its commutator [b, μ Ω ] on Herz-type Hardy spaces with variable exponent.