Weak compactness and representation in variable exponent Lebesgue spaces on infinite measure spaces
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2022
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Springer Nature
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Abstract
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.
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CRUE-CSIC (Acuerdos Transformativos 2022)