摘要
Let (X,d,μ) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of HytSnen. Under this assumption, we prove that θ-type Calderon-Zygmund operators which are bounded on L2(μ) are also bounded from L∞(μ) into RBMO(μ) and from H1,∞at(μ) into L1(μ).
Let (X,d,μ) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of HytSnen. Under this assumption, we prove that θ-type Calderon-Zygmund operators which are bounded on L2(μ) are also bounded from L∞(μ) into RBMO(μ) and from H1,∞at(μ) into L1(μ).
基金
This work was supported in part by the National Natural Science Foundation of China (Grant No. 11271091).