Stein-Weiss inequality in 𝐿¹ norm for vector fields
| Autor: | Pablo De Nápoli, Tiago Picon |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Proceedings of the American Mathematical Society. |
| ISSN: | 1088-6826 0002-9939 |
| DOI: | 10.1090/proc/16241 |
| Popis: | In this work, we investigate the limit case p = 1 p=1 of the classical Stein-Weiss inequality for the Riesz potential. Our main result is a characterization of this inequality for a special class of vector fields associated to cocanceling operators introduced by Van Schaftingen [J. Eur. Math. Soc. (JEMS) 15 (2013), pp. 877–921]. As application, we recover and improve some fractional inequalities associated to vector fields. |
| Databáze: | OpenAIRE |
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