Sobolev Spaces on Locally Compact Abelian Groups: Compact Embeddings and Local Spaces
Joint Authors
Górka, Przemysław
Kostrzewa, Tomasz
Reyes, Enrique G.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-09
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We continue our research on Sobolev spaces on locally compact abelian (LCA) groups motivated by our work on equations with infinitely many derivatives of interest for string theory and cosmology.
In this paper, we focus on compact embedding results and we prove an analog for LCA groups of the classical Rellich lemma and of the Rellich-Kondrachov compactness theorem.
Furthermore, we introduce Sobolev spaces on subsets of LCA groups and study its main properties, including the existence of compact embeddings into L p -spaces.
American Psychological Association (APA)
Górka, Przemysław& Kostrzewa, Tomasz& Reyes, Enrique G.. 2014. Sobolev Spaces on Locally Compact Abelian Groups: Compact Embeddings and Local Spaces. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1040661
Modern Language Association (MLA)
Górka, Przemysław…[et al.]. Sobolev Spaces on Locally Compact Abelian Groups: Compact Embeddings and Local Spaces. Journal of Function Spaces No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1040661
American Medical Association (AMA)
Górka, Przemysław& Kostrzewa, Tomasz& Reyes, Enrique G.. Sobolev Spaces on Locally Compact Abelian Groups: Compact Embeddings and Local Spaces. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1040661
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040661