Multilinear fractional integral operators on non-homogeneous metric measure spaces

2016/02/18 by Huajun Gong, Gong, Huajun, Rulong Xie +3
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1602.05742

19 pages

arxiv created 2016/02/18 · arxiv updated 2016/02/19

Abstract

Let (X,d,μ) be a non-homogeneous metric measure space satisfying both the geometrically doubling and the upper doubling measure conditions. In this paper, the boundedness of multilinear fractional integral operator in this setting is proved. Via a sharp maximal operator, the boundedness of commutators generated by multilinear fractional integral operator with RBMO(μ) function on non-homogeneous metric measure spaces in Lebesgue spaces is obtained.

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