Compact embeddings on a subspace of weighted variable exponent Sobolev spaces

Document Type: Original Article

Authors

1 ‎Sinop University‎, ‎Turkey

2 Sinop University‎, ‎Turkey

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

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Main Subjects