New composition results of Stepanov (µ, ν)-pseudo almost periodic functions
Filomat, Tome 36 (2022) no. 11, p. 3819

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DOI

Motivated by [17], in this paper, we give sufficient conditions ensuring that the space S p PAP(R, Z, µ, ν) of (µ, ν)-pseudo almost periodic functions in Stepanov's sense is invariant by translation. Also, we provide new composition theorems of (µ, ν)-pseudo almost periodic functions in the sense of Stepanov.
DOI : 10.2298/FIL2211819R
Classification : 43A60, 34C27
Keywords: Almost periodic functions in Stepanov’s sense, Measure theory
Amor Rebey. New composition results of Stepanov (µ, ν)-pseudo almost periodic functions. Filomat, Tome 36 (2022) no. 11, p. 3819 . doi: 10.2298/FIL2211819R
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     author = {Amor Rebey},
     title = {New composition results of {Stepanov} ({\textmu}, \ensuremath{\nu})-pseudo almost periodic functions},
     journal = {Filomat},
     pages = {3819 },
     year = {2022},
     volume = {36},
     number = {11},
     doi = {10.2298/FIL2211819R},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2211819R/}
}
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