摘要
The boundedness in Lebesgue spaces for commutators generated by multilinear singular integrals and RBMO(μ) functions of Tolsa with non-doubling measures is obtained, provided that‖μ‖=∞and multilinear singular integrals are bounded from L1(μ)×L1(μ)to L1/2,∞(μ).
The boundedness in Lebesgue spaces for commutators generated by multilinear singular integrals and RMBO(μ) functions of Tolsa with non-doubling measures is obtained, provided that ∥μ∥ = ∞ and multilinear singular integrals are bounded from L 1(μ) × L 1(μ) to L 1/2,∞(μ).
基金
This work was partially supported by Scientific Research Fund of Hunan Provincial Education Department(Grant No.06B059)
the Natural Science Foundation of Hunan Province of China(Grant No.06JJ5012)
the National Natural Science Foundation of China(Grant Nos.60474070 and 10671062)
