Hernández, Francisco L.Ruiz Bermejo, CésarSanchiz Alonso, Mauro2023-06-222023-06-222022-07-161578-730310.1007/s13398-022-01298-2https://hdl.handle.net/20.500.14352/71870CRUE-CSIC (Acuerdos Transformativos 2022)Relative weakly compact sets and weak convergence in variable exponent Lebesgue spaces L p(·) () for infinite measure spaces (, μ) are characterized. Criteria recently obtained in [14] for finite measures are here extended to the infinite measure case. In particular, it is showed that the inclusions between variable exponent Lebesgue spaces for infinite measures are never L-weakly compact. A lattice isometric representation of L p(·) () as a variable exponent space Lq(·) (0, 1) is given.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/Weak compactness and representation in variable exponent Lebesgue spaces on infinite measure spacesjournal articlehttps://doi.org/10.1007/s13398-022-01298-2open accessAnálisis matemático1202 Análisis y Análisis Funcional