Commutators of homogeneous fractional integrals on Herz-type Hardy spaces with variable exponent

摘要

Let Omega a L (s) (S (n-1)), s >= 1, be a homogeneous function of degree zero, and let sigma (0 < sigma < n) and b be Lipschitz or BMO functions. In this paper, we establish the boundedness of the commutators [b, T (Omega,sigma) ], generated by a homogeneous fractional integral operator T (Omega,sigma) and function b, on the Herz-type Hardy spaces with variable exponent.