On the grand Wiener amalgam spaces

Abstract

We define the grand Wiener amalgam space by using the classical Wiener amalgam space and the generalized grand Lebesgue space. Moreover we study the inclusions between these spaces and some applications. Finally we prove the Hölder inequality for the grand Wiener amalgam space. We also find the associate space and dual of this space, and we prove that the grand Wiener amalgam space is not reflexive.