Boundedness of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mi>p</a:mi> </a:math>-Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces

Abstract

In this paper, we establish the boundedness of classical <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M2"> <a:mi>p</a:mi> </a:math> -adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" id="M3"> <c:mi>p</c:mi> </c:math> -adic singular integral operators and Lipschitz functions or by <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" id="M4"> <e:mi>p</e:mi> </e:math> -adic singular integral operators and <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" id="M5"> <g:mi>λ</g:mi> </g:math> -central BMO functions.