Multilinear Singular Integrals and Commutators on Herz Space with Variable Exponent

Abstract

The paper establishes some sufficient conditions for the boundedness of singular integral operators and their commutators from products of variable exponent Herz spaces to variable exponent Herz spaces.

Commutators of Multilinear Singular Integrals on Weighted Herz Spaces

“…In [15], Kuang considered the boundedness of generalized Hausdorff operators on weighted Herz spaces; Hu et al in [16] established the weighted boundedness for the commutator of fractional integral operators on Herz spaces. The authors also have studied the boundedness of the multilinear integrals on weighted (unweighted) Herz spaces in [17][18][19]. In this paper, we focus on the boundedness of the iterated commutator of BMO and the -linear Calderón-Zygmund operator on weighted Herz spaces.…”