New Composition Results of Stepanov $(\mu,\nu)$-Pseudo Almost Periodic Functions

Abstract

In this paper, we give sufficient conditions ensuring that the space $S^pPAP(\mathbb{R}, Z, \mu,\nu)$ of ($\mu,\nu$)-pseudo almost periodic functions in Stepanov's sense is invariant by translation. Also, we provide  new composition theorems of  ($\mu,\nu$)-pseudo almost periodic functions in the sense of Stepanov.