Boundedness for a class of generalized commutators on λ-central Morrey space

Abstract

Let 0 ≤ α < n, Ω be a rough kernel, and let A have derivatives of order m−1 in \(C\dot BMO^{q,\mu _2 }\) with m ≥ 2. We consider a class of generalized commutators TΩ,αA of Cohen-Gosselin type, and obtain the boundedness of TΩ,αA from the central Morrey spaces \(\dot E^{p,\mu _1 }\) to \(\dot E^{r,\lambda }\) for λ = µ1 + µ2 + α/n and 1/r = 1/p + 1/q − α/n.