Artículo
Forzani, L.; Maldonado, D. "On geometric characterizations for Monge-Ampère doubling measures" (2002) Journal of Mathematical Analysis and Applications. 275(2):721-732
Este artículo es de Acceso Abierto y puede ser descargado en su versión final desde nuestro repositorio
Consulte la política de Acceso Abierto del editor
Abstract:
In this article we prove a theorem on the size of the image of sections of a convex function under its normal mapping when the sections satisfy a geometric property. We apply this result to get new geometric characterizations for Monge-Ampère doubling measures. © 2002 Elsevier Science (USA). All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | On geometric characterizations for Monge-Ampère doubling measures |
| Autor: | Forzani, L.; Maldonado, D. |
| Filiación: | IMAL-CONICET, Güemes 3450, 3000 Santa Fe, Argentina Departamento de Matemática, FCEyN - Univ. de Buenos Aires, Buenos Aires, Argentina |
| Palabras clave: | Doubling measures; Monge-Ampère measure; Real Monge-Ampère equation; Sections of convex functions; Spaces of homogeneous type |
| Año: | 2002 |
| Volumen: | 275 |
| Número: | 2 |
| Página de inicio: | 721 |
| Página de fin: | 732 |
| DOI: | http://dx.doi.org/10.1016/S0022-247X(02)00389-X |
| Título revista: | Journal of Mathematical Analysis and Applications |
| Título revista abreviado: | J. Math. Anal. Appl. |
| ISSN: | 0022247X |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0022247X_v275_n2_p721_Forzani.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v275_n2_p721_Forzani |
Referencias:
- Aimar, H., Forzani, L., Toledano, R., Balls and quasi-metrics: A space of homogeneous type modeling the real analysis related to the Monge-Ampère equation (1998) J. Fourier Anal. Appl., 4, pp. 377-381
- Caffarelli, L.A., Boundary regularity of maps with convex potentials (1992) Comm. Pure Appl. Math., 45, pp. 1141-1151
- Caffarelli, L.A., Some regularity properties of solutions of Monge-Ampère equation (1991) Comm. Pure Appl. Math., 44, pp. 965-969
- Caffarelli, L.A., Gutiérrez, C.E., Real analysis related to the Monge-Ampère equation (1996) Trans. Amer. Math. Soc., 348, pp. 1075-1092
- Caffarelli, L.A., Gutiérrez, C.E., Properties of the solutions of the linearized Monge-Ampère equation (1997) Amer. J. Math., 119, pp. 423-465
- Gutiérrez, C., The Monge-Ampère Equation (2001), Birkhäuser; Gutiérrez, C., Huang, Q., Geometric properties of the sections of solutions to the Monge-Ampère equation (2000) Trans. Amer. Math. Soc., 352, pp. 4381-4396
- Huang, Q., Harnack inequality for the linearized parabolic Monge-Ampère equation (1999) Trans. Amer. Math. Soc., 351, pp. 2025-2054
Citas:
---------- APA ----------
Forzani, L. & Maldonado, D. (2002) . On geometric characterizations for Monge-Ampère doubling measures. Journal of Mathematical Analysis and Applications, 275(2), 721-732.http://dx.doi.org/10.1016/S0022-247X(02)00389-X
---------- CHICAGO ----------
Forzani, L., Maldonado, D. "On geometric characterizations for Monge-Ampère doubling measures" . Journal of Mathematical Analysis and Applications 275, no. 2 (2002) : 721-732.http://dx.doi.org/10.1016/S0022-247X(02)00389-X
---------- MLA ----------
Forzani, L., Maldonado, D. "On geometric characterizations for Monge-Ampère doubling measures" . Journal of Mathematical Analysis and Applications, vol. 275, no. 2, 2002, pp. 721-732.http://dx.doi.org/10.1016/S0022-247X(02)00389-X
---------- VANCOUVER ----------
Forzani, L., Maldonado, D. On geometric characterizations for Monge-Ampère doubling measures. J. Math. Anal. Appl. 2002;275(2):721-732.http://dx.doi.org/10.1016/S0022-247X(02)00389-X
