COMMUTATORS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS ON NON-HOMOGENEOUS METRIC MEASURE SPACES

Abstract

Let $(X,d,\mu)$ be a metric measure space satisfying both thegeometrically doubling and the upper doubling measure conditions,which is called non-homogeneous metric measure space. In thispaper, via a sharp maximal operator, the boundedness of commutatorsgenerated by multilinear singular integral with $RBMO(\mu)$ functionon non-homogeneous metric measure spaces in $m$-multiple Lebesgue spacesis obtained.