Abstract Let ( X , d , μ ) be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. In this setting, the authors… Click to show full abstract
Abstract Let ( X , d , μ ) be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. In this setting, the authors introduce the weighted Morrey space and the weighted weak Morrey space, and show several properties of these spaces. As applications, some weighted weak type estimates for the Hardy–Littlewood maximal operator and the Calderon–Zygmund type operator are established.
               
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