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 λ -central BMO functions.

Boundedness criteria for the commutators of fractional integral and fractional maximal operators on Morrey spaces generated by the Gegenbauer differential operator

“…Commutator of classical operators of harmonic analysis play important role in various topics of analysis and PDE; see, for instance, [1, 4–7, 9–11].…”