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
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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
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Palabras clave: | Caffarelli-Kohn-Nirenberg inequalities; Power weights; Radial functions; Trace inequalities |
Año: | 2012
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Volumen: | 11
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Número: | 5
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Página de inicio: | 1629
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Página de fin: | 1642
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DOI: |
http://dx.doi.org/10.3934/cpaa.2012.11.1629 |
Título revista: | Communications on Pure and Applied Analysis
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Título revista abreviado: | Commun. Pure Appl. Anal.
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ISSN: | 15340392
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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