The Hardy space <i>H</i><sup>1</sup> on non-homogeneous metric spaces
The Hardy space <i>H</i><sup>1</sup> on non-homogeneous metric spaces
Abstract Let ( , d , μ) be a metric measure space and satisfy the so-called upper doubling condition and the geometrical doubling condition. We introduce the atomic Hardy space H 1 (μ) and prove that its dual space is the known space RBMO(μ) in this context. Using this duality, …