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We generalize the Hardy-Littlewood maximal functions to vector-valued functions taking values in a Banach space with a varying weight, t ↦ ρt, which satisfies a reverse Hölder condition, and prove ...
HÜLYA DURU, ARKADY KITOVER, MEHMET ORHON, MULTIPLICATION OPERATORS ON VECTOR-VALUED FUNCTION SPACES, Proceedings of the American Mathematical Society, Vol. 141, No. 10 (OCTOBER 2013), pp. 3501-3513 ...