Commutators of Littlewood-Paley [...] g κ ∗ -functions on non-homogeneous metric measure spaces
The main purpose of this paper is to prove that the boundedness of the commutator [...] Mκ,b∗ generated by the Littlewood-Paley operator [...] Mκ∗ and RBMO (μ) function on non-homogeneous metric measure spaces satisfying the upper doubling and the geometrically doubling conditions. Under the assumption that the kernel of [...] Mκ∗ satisfies a certain Hörmander-type condition, the authors prove that [...] Mκ,b∗ is bounded on Lebesgue spaces Lp(μ) for 1 < p < ∞, bounded from the space...