On the Lebesgue and Sobolev spaces on a time-scale

• Autorzy: Skrzypek Ewa , Szymańska-Dębowska Katarzyna

Identyfikatory

DOI

10.7494/OpMath.2019.39.5.705

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Lebesgue spaces; Sobolev spaces; modular spaces; time-scales; boundary value problems on time-scales

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2019
• Tom: Vol. 39, no. 5
• Strony: 705--731
• Opis fizyczny: Bibliogr, 21 poz.

Twórcy

autor

Skrzypek Ewa

• Lodz University of Technology Institute of Mathematics 90-924 Lodz, ul. Wolczanska 215, Poland

autor

Szymańska-Dębowska Katarzyna

• Lodz University of Technology Institute of Mathematics 90-924 Lodz, ul. Wolczanska 215, Poland

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