RT Journal Article
T1 Characterizing Sobolev spaces of vector-valued functions
A1 Caamaño Aldemunde, Iván
A1 Jaramillo Aguado, Jesús Ángel
A1 Prieto Yerro, M. Ángeles
AB 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∞.
PB Elsevier
SN 0022-247X
YR 2022
FD 2022
LK https://hdl.handle.net/20.500.14352/71429
UL https://hdl.handle.net/20.500.14352/71429
LA eng
NO CRUE-CSIC (Acuerdos Transformativos 2022)
NO Ministerio de Ciencia e Innovación (MICINN)
DS Docta Complutense
RD 19 abr 2025