Author(s)

Tie Li, Yinsheng Jiang, Yaoming Niu

Baotou Teacher’s College of Inner Mongolia University of Science and Technology, Baotou, China.

Let μ be a non-negative Radon measure on R^d which only satisfies the following growth condition that there exists a positive constant C such that μ(B(x,r)) ≤ Crⁿ for all x∈ R^d, r > 0 and some fixed n ∈ (0,d]. This paper is interested in the properties of the iterated commutators of multilinear singular integral operators on Morrey spaces .Precisely speaking, we show that the iterated commutators generated by multilinear singular integrals operators are bounded from to where (Regular Bounded Mean Oscillation space) and 1 < q_j ≤ p_j <∞ with 1/p = 1/p₁ + ... + 1/p_m and 1/q = 1/q₁+ ... + 1/q_m.

Non-Doubling Measures, Morrey Space, Multilinear Singular Integral Operators, RBMO, Commutator

Li, T. , Jiang, Y. and Niu, Y. (2020) Iterated Commutators for Multilinear Singular Integral Operators on Morrey Space with Non-Doubling Measures. Journal of Applied Mathematics and Physics, 8, 53-69. doi: 10.4236/jamp.2020.81005.