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arXiv · 1307.5261

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

Rulong Xie·Huajun Gong·Xiaoyao Zhou
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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.

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Rulong Xie, Huajun Gong, Xiaoyao Zhou. 2013-07-19. Commutators of multilinear singular integral operators on non-homogeneous metric measure spaces. https://arxiv.org/abs/1307.5261

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