Geodesic
Further properties of Stepanov--Orlicz almost periodic functions
Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 3, pp. 363-382.

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We revisit the concept of Stepanov--Orlicz almost periodic functions introduced by Hillmann in terms of Bochner transform. Some structural properties of these functions are investigated. A particular attention is paid to the Nemytskii operator between spaces of Stepanov--Orlicz almost periodic functions. Finally, we establish an existence and uniqueness result of Bohr almost periodic mild solution to a class of semilinear evolution equations with Stepanov--Orlicz almost periodic forcing term.
DOI : 10.14712/1213-7243.2020.030
Classification : 34C27, 35B15, 46E30
Keywords: Bohr almost periodic; Bochner transform; Stepanov--Orlicz almost periodic function; semilinear evolution equations; Nemytskii operator 
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     title = {Further properties of {Stepanov--Orlicz}  almost periodic functions},
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Djabri, Yousra; Bedouhene, Fazia; Boulahia, Fatiha. Further properties of Stepanov--Orlicz  almost periodic functions. Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 3, pp. 363-382. doi : 10.14712/1213-7243.2020.030. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.030/

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