Compact embeddings on a subspace of weighted variable exponent Sobolev spaces

Abstract

‎In this paper‎, ‎we define an intersection space between weighted classical Lebesgue spaces and weighted Sobolev spaces with variable exponent‎. ‎We consider the basic properties of the space‎. ‎Also‎, ‎we investigate some inclusions‎, ‎continuous embeddings‎, ‎and compact embeddings under some‎ ‎conditions‎.