## Yousra Djabri, Fazia Bedouhene, Fatiha Boulahia

*Further properties of Stepanov--Orlicz almost periodic functions*

Comment.Math.Univ.Carolin. 61,3 (2020) 363-382.**Abstract:**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.

**Keywords:** Bohr almost periodic; Bochner transform; Stepanov--Orlicz almost periodic function; semilinear evolution equations; Nemytskii operator

**DOI:** DOI 10.14712/1213-7243.2020.030

**AMS Subject Classification:** 34C27 35B15 46E30

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