TY  - JOUR
ID  - Skrzypek2019
LB  - Skrzypek2019
AU  - Skrzypek, Ewa
AU  - Szymańska-Dębowska, Katarzyna
TI  - On the Lebesgue and Sobolev spaces on a time-scale
ST  - On the Lebesgue and Sobolev spaces on a time-scale
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2019
VL  - 39
IS  - 5
SP  - 705
EP  - 731
DO  - https://doi.org/10.7494/OpMath.2019.39.5.705
UR  - https://doi.org/10.7494/OpMath.2019.39.5.705
AB  - 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.
KW  - Lebesgue spaces
KW  - Sobolev spaces
KW  - modular spaces
KW  - time-scales
KW  - boundary value problems on time-scales
SN  - 1232-9274
ER  -