Our aim in this paper is to establish duality of central Herz-Morrey-Musielak-Orlicz spaces Φ,?(⋅),?(??0) of variable exponents, the space ⎯⎯⎯Φ,?(⋅),?(??0) and its complementary space ⎯⎯⎯⎯⎯Φ,?(⋅),?(??0) by studying the associate spaces of central Herz-Morrey-Musielak-Orlicz spaces Φ,?1,?2,?(??0) , the space ⎯⎯⎯Φ,?1,?2,?(??0) and its complementary space ⎯⎯⎯⎯⎯Φ,?1,?2,?(??0) .
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