Compactness in Wiener amalgams on locally compact groups
We study the compactness of bounded subsets in a Wiener amalgam whose local and global components are solid Banach function (BF) spaces on a locally compact group. Our main theorem provides a generalization of the corresponding results of Feichtinger. This paper paves the way for the study of compac...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203212205 |
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| _version_ | 1832548937907568640 |
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| author | S. S. Pandey |
| author_facet | S. S. Pandey |
| author_sort | S. S. Pandey |
| collection | DOAJ |
| description | We study the compactness of bounded subsets in a Wiener amalgam
whose local and global components are solid Banach function (BF)
spaces on a locally compact group. Our main theorem
provides a generalization of the corresponding results of Feichtinger. This paper paves the way for the study
of compact multiplier operators on general Wiener amalgams on the
lines of Feichtinger. |
| format | Article |
| id | doaj-art-284e52d52b544814bfc3c1162b98b727 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-284e52d52b544814bfc3c1162b98b7272025-02-03T06:12:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003553503351710.1155/S0161171203212205Compactness in Wiener amalgams on locally compact groupsS. S. Pandey0Department of Mathematics, Rani Durgawati University, Jabalpur, IndiaWe study the compactness of bounded subsets in a Wiener amalgam whose local and global components are solid Banach function (BF) spaces on a locally compact group. Our main theorem provides a generalization of the corresponding results of Feichtinger. This paper paves the way for the study of compact multiplier operators on general Wiener amalgams on the lines of Feichtinger.http://dx.doi.org/10.1155/S0161171203212205 |
| spellingShingle | S. S. Pandey Compactness in Wiener amalgams on locally compact groups International Journal of Mathematics and Mathematical Sciences |
| title | Compactness in Wiener amalgams on locally compact groups |
| title_full | Compactness in Wiener amalgams on locally compact groups |
| title_fullStr | Compactness in Wiener amalgams on locally compact groups |
| title_full_unstemmed | Compactness in Wiener amalgams on locally compact groups |
| title_short | Compactness in Wiener amalgams on locally compact groups |
| title_sort | compactness in wiener amalgams on locally compact groups |
| url | http://dx.doi.org/10.1155/S0161171203212205 |
| work_keys_str_mv | AT sspandey compactnessinwieneramalgamsonlocallycompactgroups |