On the Lebesgue and Sobolev spaces on a time-scale

On the Lebesgue and Sobolev spaces on a time-scale

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...

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Bibliographic Details
Main Authors: Ewa Skrzypek, Katarzyna Szymańska-Dębowska
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2019-01-01
Series:Opuscula Mathematica
Subjects:
lebesgue spaces
sobolev spaces
modular spaces
time-scales
boundary value problems on time-scales
Online Access:https://www.opuscula.agh.edu.pl/vol39/5/art/opuscula_math_3940.pdf
Description
Summary: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.
ISSN:1232-9274

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