Some Intersections of the Weighted -Spaces
Let be a locally compact group an arbitrary family of the weight functions on and . The locally convex space as a subspace of is defined. Also, some sufficient conditions for that space to be a Banach space are provided. Furthermore, for an arbitrary subset of and a positive submultiplicative...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/986857 |
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| author | F. Abtahi H. G. Amini H. A. Lotfi A. Rejali |
| author_facet | F. Abtahi H. G. Amini H. A. Lotfi A. Rejali |
| author_sort | F. Abtahi |
| collection | DOAJ |
| description | Let be a locally compact group an arbitrary family of the weight functions on and . The locally convex space as a subspace of is defined. Also, some sufficient conditions for that space to be a Banach space are provided. Furthermore, for an arbitrary subset of and a positive submultiplicative weight function on , Banach subspace of is introduced. Then some algebraic properties of , as a Banach algebra under convolution product, are investigated. |
| format | Article |
| id | doaj-art-75178864a7dc4b15ac50eafb96897fc9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-75178864a7dc4b15ac50eafb96897fc92025-02-03T06:11:04ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/986857986857Some Intersections of the Weighted -SpacesF. Abtahi0H. G. Amini1H. A. Lotfi2A. Rejali3Department of Mathematics, University of Isfahan, Isfahan 81746-73441, IranDepartment of Mathematics, University of Isfahan, Isfahan 81746-73441, IranDepartment of Mathematics, University of Isfahan, Isfahan 81746-73441, IranDepartment of Mathematics, University of Isfahan, Isfahan 81746-73441, IranLet be a locally compact group an arbitrary family of the weight functions on and . The locally convex space as a subspace of is defined. Also, some sufficient conditions for that space to be a Banach space are provided. Furthermore, for an arbitrary subset of and a positive submultiplicative weight function on , Banach subspace of is introduced. Then some algebraic properties of , as a Banach algebra under convolution product, are investigated.http://dx.doi.org/10.1155/2013/986857 |
| spellingShingle | F. Abtahi H. G. Amini H. A. Lotfi A. Rejali Some Intersections of the Weighted -Spaces Abstract and Applied Analysis |
| title | Some Intersections of the Weighted -Spaces |
| title_full | Some Intersections of the Weighted -Spaces |
| title_fullStr | Some Intersections of the Weighted -Spaces |
| title_full_unstemmed | Some Intersections of the Weighted -Spaces |
| title_short | Some Intersections of the Weighted -Spaces |
| title_sort | some intersections of the weighted spaces |
| url | http://dx.doi.org/10.1155/2013/986857 |
| work_keys_str_mv | AT fabtahi someintersectionsoftheweightedspaces AT hgamini someintersectionsoftheweightedspaces AT halotfi someintersectionsoftheweightedspaces AT arejali someintersectionsoftheweightedspaces |