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The classical Fourier multiplier theorems of Marcinkiewicz and Mikhlin are extended to vector-valued functions and operator-valued multiplier functions on $ℤ^{d}\ \text{or}\ ℝ^{d}$ which satisfy ...

N. E. Gretsky and J. J. Uhl, Jr. Representations of bounded linear operators on Banach function spaces of vector-valued functions to Banach spaces are given in terms of operator-valued measures. Then ...