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In this paper operator-valued multiplier theorems in Banach-valued weighted Lp spaces are studied. Also weighted Sobolev–Lions type spaces Wp,γl(Ω;E0,E)=Wp,γl(Ω;E)∩Lp,γ(Ω;E0) are discussed when E0, E are two Banach spaces and E0 is continuously and densely embedded on E. Several conditions are found that ensure the continuity of the embedding operators that are optimally regular in these spaces in...
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