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

Abstract

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