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Weighted Morrey spaces on non-homogeneous metric measure spaces

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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.

Keywords: morrey spaces; weighted morrey; spaces non; non homogeneous; metric measure

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017

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