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.
"On some compact embeddings of a weighted space." Tbilisi Math. J. 12 (2) 29 - 45, April 2019. https://doi.org/10.32513/tbilisi/1561082565