Geodesic
On Stepanov-like almost periodicity in mixed Lebesgue spaces
Čelâbinskij fiziko-matematičeskij žurnal, Tome 8 (2023) no. 1, pp. 47-58

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The main purpose of this paper is to revisit the recently analyzed class of multi-dimensional Stepanov almost periodic functions. We introduce and study several new classes of Stepanov-like almost periodic functions in the mixed Lebesgue spaces. We also provide a new application of multi-dimensional Stepanov almost periodic functions to the abstract nonautonomous differential equations of first order, provided that all components of the exponent $\vec{p}\in [1,\infty)^{n}$ are equal.
Keywords: Stepanov-like almost periodic function in mixed Lebesgue space, multi-dimensional Stepanov almost periodic function, abstract nonautonomous differential equation of first order. 
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     author = {F. Z. Ben Cheikh and M. T. Khalladi and M. Kosti\'c},
     title = {On {Stepanov-like} almost periodicity in mixed {Lebesgue} spaces},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {47--58},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2023_8_1_a3/}
}
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F. Z. Ben Cheikh; M. T. Khalladi; M. Kostić. On Stepanov-like almost periodicity in mixed Lebesgue spaces. Čelâbinskij fiziko-matematičeskij žurnal, Tome 8 (2023) no. 1, pp. 47-58. http://geodesic.mathdoc.fr/item/CHFMJ_2023_8_1_a3/