2024/08/05 by Gürkanlı, A. Turan
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2408.02406
In \citeg5, we defined and investigated the grand Wiener amalgam space W(Lp),θ1(Ω), Lq),θ2(Ω)) , where 10, θ2>0, Ω⊂\mathbb Rn and the Lebesgue measure of Ω is finite. In the present paper we generalize this space and define the generalized grand Wiener amalgam space W(Lap)(\mathbb Rn), Lbq)(\mathbb Rn)), where Lap)(\mathbb Rn) and Lbq)(\mathbb Rn), are the generalized grand Lebesgue spaces, (see \citeu, \citesu3). Later we investigate some basic properties. Next we study embeddings for these spaces and we discuss boundedness and unboundedness of the Hardy-Littlewood maximal operator between some generalized grand Wiener amalgam spaces.