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$H=W$ Musielak spaces framework
Rendiconti Lincei-Matematica e Applicazioni ( IF 0.6 ) Pub Date : 2020-06-30 , DOI: 10.4171/rlm/899
Youssef Ahmida 1 , Alberto Fiorenza 2 , Ahmed Youssfi 1
Affiliation  

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.

中文翻译:

$ H = W $ Musielak空间框架

我们对Musielak函数给出了足以在Musielak空间中保持的Meyers-Serrin定理的结构条件。我们统一并扩展了Orlicz-Sobolev空间以及可变指数Sobolev空间中的光滑函数的一些密度结果。
更新日期:2020-07-20
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