Integral Equations and Operator Theory.
Springer Basel.
Том 90.
2018.
We study totally bounded sets in variable Lebesgue spaces. The full characterization of this kind of sets is given for the case of variable Lebesgue space on metric measure spaces. Furthermore, the suffcient conditions for compactness are shown without assuming log-Hölder continuity of the exponent. © 2018, Duke University Press.