%0 Journal Article
%A Caamaño Aldemunde, Iván
%A Jaramillo Aguado, Jesús Ángel
%A Prieto Yerro, M. Ángeles
%T Characterizing Sobolev spaces of vector-valued functions
%D 2022
%@ 0022-247X
%U https://hdl.handle.net/20.500.14352/71429
%X We are concerned here with Sobolev-type spaces of vector-valued functions. For an open subset Ω⊂RN and a Banach space V, we characterize the functions in the Sobolev-Reshetnyak space R1,p(Ω, V), where 1 ≤p≤∞, in terms of the existence of partial metric derivatives or partial w∗-derivatives with suitable integrability properties. In the case p=∞ the Sobolev-Reshetnyak space R1,∞(Ω, V)is characterized in terms of a uniform local Lipschitz property. We also consider the special case of the space V=l∞.
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