Artículo
De Nápoli, P.; Drelichman, I.; Salort, A. "Weighted inequalities for the fractional Laplacian and the existence of extremals" (2018) Communications in Contemporary Mathematics
Estamos trabajando para incorporar este artículo al repositorio
Consulte la política de Acceso Abierto del editor
Abstract:
In this paper, we obtain improved versions of Stein–Weiss and Caffarelli–Kohn–Nirenberg inequalities, involving Besov norms of negative smoothness. As an application of the former, we derive the existence of extremals of the Stein–Weiss inequality in certain cases, some of which are not contained in the celebrated theorem of Lieb [Sharp constants in the Hardy–Littlewood–Sobolev and related inequalities, Ann. of Math. (2) 118(2) (1983) 101–116]. © 2018 World Scientific Publishing Company
Registro:
| Documento: | Artículo |
| Título: | Weighted inequalities for the fractional Laplacian and the existence of extremals |
| Autor: | De Nápoli, P.; Drelichman, I.; Salort, A. |
| Filiación: | IMAS (UBA-CONICET) and Departamento de Matemática, Facultad de Ciencias Exactas y Naturales – Universidad de Buenos Aires, Ciudad Universitaria – 1428 Buenos Aires, Argentina IMAS (UBA-CONICET), Facultad de Ciencias Exactas y Naturales – Universidad de Buenos Aires, Ciudad Universitaria – 1428 Buenos Aires, Argentina |
| Palabras clave: | embedding theorems; extremals; fractional Laplacian; potential spaces; power weights; Sobolev spaces |
| Año: | 2018 |
| DOI: | http://dx.doi.org/10.1142/S0219199718500347 |
| Título revista: | Communications in Contemporary Mathematics |
| Título revista abreviado: | Commun. Contemp. Math. |
| ISSN: | 02191997 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02191997_v_n_p_DeNapoli |
Citas:
---------- APA ----------
De Nápoli, P., Drelichman, I. & Salort, A. (2018) . Weighted inequalities for the fractional Laplacian and the existence of extremals. Communications in Contemporary Mathematics.http://dx.doi.org/10.1142/S0219199718500347
---------- CHICAGO ----------
De Nápoli, P., Drelichman, I., Salort, A. "Weighted inequalities for the fractional Laplacian and the existence of extremals" . Communications in Contemporary Mathematics (2018).http://dx.doi.org/10.1142/S0219199718500347
---------- MLA ----------
De Nápoli, P., Drelichman, I., Salort, A. "Weighted inequalities for the fractional Laplacian and the existence of extremals" . Communications in Contemporary Mathematics, 2018.http://dx.doi.org/10.1142/S0219199718500347
---------- VANCOUVER ----------
De Nápoli, P., Drelichman, I., Salort, A. Weighted inequalities for the fractional Laplacian and the existence of extremals. Commun. Contemp. Math. 2018.http://dx.doi.org/10.1142/S0219199718500347
