Artículo
De Nápoli, P.L.; Drelichman, I.; Durán, R.G. "Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions" (2012) Communications on Pure and Applied Analysis. 11(5):1629-1642
Estamos trabajando para incorporar este artículo al repositorio
Consulte la política de Acceso Abierto del editor
Abstract:
We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in ℝn × ℝ+ admit a better range of power weights if we restrict ourselves to the space of radially symmetric functions.
Registro:
| Documento: | Artículo |
| Título: | Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions |
| Autor: | De Nápoli, P.L.; Drelichman, I.; Durán, R.G. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas Y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina |
| Palabras clave: | Caffarelli-Kohn-Nirenberg inequalities; Power weights; Radial functions; Trace inequalities |
| Año: | 2012 |
| Volumen: | 11 |
| Número: | 5 |
| Página de inicio: | 1629 |
| Página de fin: | 1642 |
| DOI: | http://dx.doi.org/10.3934/cpaa.2012.11.1629 |
| Título revista: | Communications on Pure and Applied Analysis |
| Título revista abreviado: | Commun. Pure Appl. Anal. |
| ISSN: | 15340392 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v11_n5_p1629_DeNapoli |
Referencias:
- Bonder, J.F., Dolbeault, J., Work, , in progress
- Caffarelli, L., Kohn, R., Nirenberg, L., First order interpolation inequalities with weights (1984) Compositio Math., 53, pp. 259-275
- Catrina, F., Wang, Z.-Q., On the Ca,ffarelli-Kohn-Nirenberg inequalities: Sharp constants, existence (and nonexistence), and, symmetry of extremal functions (2001) Comm. Pure Appl. Math., 54, pp. 229-258
- De Nápoli, P.L., Drelichman, I., Duran, R.G., On weighted inequalities for fractional integrals of radial functions Illinois J. Math., , To Appear arXiv:0910.5508
- Grafakos, L., (2004) Classical and Modern Fourier Analysis, , Pearson Education, Inc., Upper Saddle River, NJ
- Lieb, E., Sharp constants in the Hardy-Littlewood-Soholev and related inequalities (1983) Ann. of Math., 118, pp. 349-374
- Stein, E.M., (1970) Singular Integrals and Differentiability Properties of Functions, , Princeton Mathematical Series, No. 30 Princeton University Press, Princeton, N.J
- Stein, E.M., Weiss, G., Fractional integrals on n-dimensional Euclidean space (1958) J. Math. Mech., 7, pp. 503-514
Citas:
---------- APA ----------
De Nápoli, P.L., Drelichman, I. & Durán, R.G. (2012) . Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions. Communications on Pure and Applied Analysis, 11(5), 1629-1642.http://dx.doi.org/10.3934/cpaa.2012.11.1629
---------- CHICAGO ----------
De Nápoli, P.L., Drelichman, I., Durán, R.G. "Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions" . Communications on Pure and Applied Analysis 11, no. 5 (2012) : 1629-1642.http://dx.doi.org/10.3934/cpaa.2012.11.1629
---------- MLA ----------
De Nápoli, P.L., Drelichman, I., Durán, R.G. "Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions" . Communications on Pure and Applied Analysis, vol. 11, no. 5, 2012, pp. 1629-1642.http://dx.doi.org/10.3934/cpaa.2012.11.1629
---------- VANCOUVER ----------
De Nápoli, P.L., Drelichman, I., Durán, R.G. Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions. Commun. Pure Appl. Anal. 2012;11(5):1629-1642.http://dx.doi.org/10.3934/cpaa.2012.11.1629
