RT Journal Article T1 Weak compactness and representation in variable exponent Lebesgue spaces on infinite measure spaces A1 Hernández, Francisco L. A1 Ruiz Bermejo, César A1 Sanchiz Alonso, Mauro AB 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. PB Springer Nature SN 1578-7303 YR 2022 FD 2022-07-16 LK https://hdl.handle.net/20.500.14352/71870 UL https://hdl.handle.net/20.500.14352/71870 LA eng NO CRUE-CSIC (Acuerdos Transformativos 2022) DS Docta Complutense RD 7 abr 2025