We provide several equivalent characterizations for the upper doubling condition introduced in the framework of T. Hytonen for non-homogeneous metric measure spaces. We also introduce the “smooth strong upper doubling”… Click to show full abstract
We provide several equivalent characterizations for the upper doubling condition introduced in the framework of T. Hytonen for non-homogeneous metric measure spaces. We also introduce the “smooth strong upper doubling” condition and provide equivalent characterizations, which is related to the development of Littlewood–Paley theory on this non-homogeneous setting.
               
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