Duality properties and Riesz representation theorem in Besicovitch-Musielak-Orlicz space of almost periodic functions

Commentationes mathematicae Universitatis Carolinae

A. Daoui¹ 

关键词: Orlicz norm;    Amemiya norm;    conjugate function;    Besicovitch-Musielak-Orlicz spaces;    almost periodic functions;    reflexivity;    Riesz theorem;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

This paper is an extension of the work done in [Morsli M., Bedouhene~F., Boulahia F., {\it Duality properties and Riesz representation theorem in the Besicovitch-Orlicz space of almost periodic functions\/}, Comment. Math. Univ. Carolin. {\bf 43} (2002), no.~1, 103--117] to the Besicovitch-Musielak-Orlicz space of almost periodic functions. Necessary and sufficient conditions for the reflexivity of this space are given. A Riesz type ``duality representation theorem'' is also stated.

【 授权许可】

CC BY