Our goal of this paper is to show that Ho's vector-valued Morrey spaces can be realized as a special case of pointwise multiplier spaces. This extends Lemarié- Rieusset's theorem. One cannot extend his theorem directly, because we are handling Banach lattices instead of Lebesgue spaces. It turns out that mixed Morrey spaces, Lorentz-Morrey spaces, and Orlicz-Morrey spaces fall under the scope of the framework in this paper. This work can be located as a continuation of the huge study of multiplier spaces collected in the book of Maz'ya.
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