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http://arks.princeton.edu/ark:/88435/pr1qq9n| Abstract: | We derive the Moser-Trudinger-Onofri inequalities on the 2-sphere and the 4-sphere as the limiting cases of the fractional power Sobolev inequalities on the same spaces, and justify our approach as the dimensional continuation argument initiated by Thomas P. Branson. (C) 2017 Elsevier Inc. All rights reserved. |
| Publication Date: | 15-Feb-2018 |
| Electronic Publication Date: | 5-Sep-2017 |
| Citation: | Chang, Sun-Yung Alice, Wang, Fang. (2018). Limit of fractional power Sobolev inequalities. JOURNAL OF FUNCTIONAL ANALYSIS, 274 (1177 - 1201. doi:10.1016/j.jfa.2017.08.022 |
| DOI: | doi:10.1016/j.jfa.2017.08.022 |
| ISSN: | 0022-1236 |
| EISSN: | 1096-0783 |
| Pages: | 1177 - 1201 |
| Type of Material: | Journal Article |
| Journal/Proceeding Title: | JOURNAL OF FUNCTIONAL ANALYSIS |
| Version: | Author's manuscript |
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