Abstract
Let be a nondoubling measure on . A class of commutators associated with multilinear fractional integrals and RBMO( ) functions are introduced and shown to be bounded on product of Lebesgue spaces with .
Highlights
In recent years, the study of multilinear operators and their commutator has been attracting many researchers
Many results of singular integrals and the related operators on Euclidean spaces with Lebesgue measure have been generalized to the Lebesgue spaces with nondoubling measures see 5–10, etc
Motivated by 5, 8, we will consider the commutators generated by a class of multilinear fractional integrals and RBMO functions with nondoubling measure, which were introduced by Tolsa in 11
Summary
Let μ be a nondoubling measure on Rd. A class of commutators associated with multilinear fractional integrals and RBMO μ functions are introduced and shown to be bounded on product of Lebesgue spaces with μ.
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