Joseph Kupka, Radon-Nikodym Theorems for Vector Valued Measures, Transactions of the American Mathematical Society, Vol. 169 (Jul., 1972), ... preliminary result is presented which gives necessary and ...

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 ...