RT Journal Article
T1 Disjointly strictly singular and L-weakly compact inclusions between variable Lebesgue spaces
A1 Hernández Rodríguez, Francisco Luis
A1 Ruiz Bermejo, César
A1 Sanchiz Alonso, Mauro
AB Disjointly strictly singular inclusions between variable Lebesgue spaces Lp(·)(μ) on finite measure are characterized. Suitable criteria in terms of the (bounded or unbounded) exponents are given. It is proved the equivalence of L-weak compactness (also called almost compactness) and disjoint strict singularity for variable Lebesgue space inclusions. For infinite measure any inclusion Lp(·)(μ) → Lq(·)(μ) is not disjointly strictly singular. No restrictions on the exponent are imposed.
PB Elsevier
SN 0022-247X
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/120289
UL https://hdl.handle.net/20.500.14352/120289
LA eng
NO Hernández, F. L., Ruiz, C., & Sanchiz, M. (2025). Disjointly strictly singular and L-weakly compact inclusions between variable Lebesgue spaces. Journal of Mathematical Analysis and Applications, 550(2), 129634. https://doi.org/10.1016/j.jmaa.2025.129634
NO 2025 Acuerdos transformativos CRUE
NO Ministerio de Ciencia e Innovación
DS Docta Complutense
RD 26 ago 2025