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- Title
On some compact embeddings of a weighted space.
- Authors
Unal, Cihan; Aydın, Ismail
- Abstract
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.
- Subjects
HAAR integral; ABELIAN groups; COMPACT groups; EMBEDDINGS (Mathematics); SPACE; BANACH spaces; BANACH algebras
- Publication
Tbilisi Mathematical Journal, 2019, Vol 12, Issue 2, p29
- ISSN
1875-158X
- Publication type
Article
- DOI
10.32513/tbilisi/1561082565