Musielak spaces framework
Youssef Ahmida
Université Sidi Mohamed Ben Abdellah, Fes, MoroccoAlberto Fiorenza
Università degli Studi di Napoli Federico II and Consiglio Nazionale delle Ricerche, Napoli, ItalyAhmed Youssfi
Université Sidi Mohamed Ben Abdellah, Fes, Morocco
Abstract
We give a sufficient structural condition on the Musielak functions for the Meyers–Serrin theorem to hold in Musielak spaces. We unify and extend some density results of smooth functions in Orlicz–Sobolev spaces as well as in variable exponent Sobolev spaces.
Cite this article
Youssef Ahmida, Alberto Fiorenza, Ahmed Youssfi, Musielak spaces framework. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 2, pp. 447–464
DOI 10.4171/RLM/899