@Article{Skrzypek2019,
author = "Skrzypek, Ewa and Szymańska-Dębowska, Katarzyna",
title = "On the Lebesgue and Sobolev spaces on a time-scale",
journal = "Opuscula Math.",
year = "2019",
volume = "39",
number = "5",
pages = "705--731",
doi = "https://doi.org/10.7494/OpMath.2019.39.5.705",
url = "https://doi.org/10.7494/OpMath.2019.39.5.705",
abstract = "We consider the generalized Lebesgue and Sobolev spaces on a bounded time-scale. We study the standard properties of these spaces and compare them to the classical known results for the Lebesgue and Sobolev spaces on a bounded interval. These results provide the necessary framework for the study of boundary value problems on bounded time-scales.",
keywords = "Lebesgue spaces, Sobolev spaces, modular spaces, time-scales, boundary value problems on time-scales",
issn = "1232-9274"
}