%0 Journal Article
%A Hernández, Francisco L.
%A Ruiz Bermejo, César
%A Sanchiz Alonso, Mauro
%T Weak compactness and representation in variable exponent Lebesgue spaces on infinite measure spaces
%D 2022
%@ 1578-7303
%U https://hdl.handle.net/20.500.14352/71870
%X 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.
%~