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Generalized Hankel conjugate transformations on rearrangement invariant spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kerman, R. A. |
| Copyright Year | 1977 |
| Abstract | The boundedness properties of the generalized Hankel conjugate transformations Hx on certain weighted Lebesgue spaces are studied. These are used to establish a boundedness criterion for the Hx on the more general class of rearrangement invariant spaces. The positive operators in terms of which the criterion is given are used to construct pairs of spaces between which the Hx are continuous; in particular, a natural analogue of a wellknown result of Zygmund concerning the classical conjugate function operator is obtained for the Hx. |
| Starting Page | 111 |
| Ending Page | 130 |
| Page Count | 20 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9947-1977-0450882-4 |
| Volume Number | 232 |
| Alternate Webpage(s) | https://www.ams.org/journals/tran/1977-232-00/S0002-9947-1977-0450882-4/S0002-9947-1977-0450882-4.pdf |
| Alternate Webpage(s) | http://www.ams.org/journals/tran/1977-232-00/S0002-9947-1977-0450882-4/S0002-9947-1977-0450882-4.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9947-1977-0450882-4 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
