Commutators of multilinear singular integral operators on non-homogeneous metric measure spaces

Abstract

Let $(X,d,\mu )$ be a metric measure space satisfying both the geometrically doubling and the upper doubling measure conditions, which is called non-homogeneous metric measure space. In this paper, via a sharp maximal operator, the boundedness of commutators generated by multilinear singular integral with $RBMO(\mu )$ function on non-homogeneous metric measure spaces in $m$-multiple Lebesgue spaces is obtained.

17 pages

References in corpus (2)

• The Hardy Space $H^1$ on Non-homogeneous Metric Spaces
• Spaces of Type BLO on Non-homogeneous Metric Measure Spaces