Multilinear fractional integral operators on non-homogeneous metric measure spaces

Abstract

Abstract In this paper, the boundedness in Lebesgue spaces for multilinear fractional integral operators and commutators generated by multilinear fractional integrals with an RBMO ( μ ) $\operatorname{RBMO}(\mu)$ function on non-homogeneous metric measure spaces is obtained.

Keywords

• multilinear fractional integrals
• commutators
• non-homogeneous metric measure spaces