Boundedness of p -Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces

Abstract

In this paper, we establish the boundedness of classical $p$ -adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by $p$ -adic singular integral operators and Lipschitz functions or by $p$ -adic singular integral operators and $\lambda$ -central BMO functions.