On some compact embeddings of a weighted space

C. Unal, I. Aydin

In this paper, we define an intersection spaces between weighted classical Lebesgue spaces and an amalgam space with two weight functions on a locally compact abelian group with Haar measure. We consider the basic properties of the space such as Banach algebra, translation invariant, Banach module, a generalized type of Segal algebra etc. Also, we investigate some inclusions, compact embeddings in sense to weights and further discuss multipliers of this space. 

Tbilisi Mathematical Journal, Vol. 12(2) (2019), pp. 29-45