Bilinear θ-Type Calderón-Zygmund Operators on Non-homogeneous Generalized Morrey Spaces

摘要

Let (X, d, μ) be a non-homogeneous metric measure space which satisfies the geometrically doubling and the upper doubling conditions in the sense of Hyt?nen. In this paper, the authors prove that the bilinear θ-type Calderón-Zygmund operator and its corresponding commutator are bounded on the generalized Morrey space L p,Φ (μ) for 1 < p < ∞. As an application, the authors also obtain that the bilinear θ-type Calderón-Zygmund operator and its commutator are bounded on the Morrey space M qp(μ).