The conjugation operator on Aq(G)
Let q>2. We prove that the conjugation operator H does not extend to a bounded operator on the space of integrable functions defined on any compact abelian group with the Fourier transform in lq.
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203203045 |
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| _version_ | 1832565224124710912 |
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| author | Sanjiv Kumar Gupta |
| author_facet | Sanjiv Kumar Gupta |
| author_sort | Sanjiv Kumar Gupta |
| collection | DOAJ |
| description | Let q>2. We prove that the conjugation operator H does not extend to a bounded operator on the space of integrable functions defined on any compact abelian group with the Fourier transform in
lq. |
| format | Article |
| id | doaj-art-3c308d1a887e4f03bf7d05149a4541d3 |
| 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-3c308d1a887e4f03bf7d05149a4541d32025-02-03T01:08:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003372345234710.1155/S0161171203203045The conjugation operator on Aq(G)Sanjiv Kumar Gupta0Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khaud 123, OmanLet q>2. We prove that the conjugation operator H does not extend to a bounded operator on the space of integrable functions defined on any compact abelian group with the Fourier transform in lq.http://dx.doi.org/10.1155/S0161171203203045 |
| spellingShingle | Sanjiv Kumar Gupta The conjugation operator on Aq(G) International Journal of Mathematics and Mathematical Sciences |
| title | The conjugation operator on Aq(G) |
| title_full | The conjugation operator on Aq(G) |
| title_fullStr | The conjugation operator on Aq(G) |
| title_full_unstemmed | The conjugation operator on Aq(G) |
| title_short | The conjugation operator on Aq(G) |
| title_sort | conjugation operator on aq g |
| url | http://dx.doi.org/10.1155/S0161171203203045 |
| work_keys_str_mv | AT sanjivkumargupta theconjugationoperatoronaqg AT sanjivkumargupta conjugationoperatoronaqg |