Abstract:
We prove the Poincaré inequality for vector fields on the balls of the control distance by integrating along subunit paths. Our method requires that the balls are representable by means of suitable "controllable almost exponential maps".
Registro:
Documento: |
Artículo
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Título: | On the Poincaré inequality for vector fields |
Autor: | Lanconelli, E.; Morbidelli, D.; Lassalle, S.; Zalduendo, I. |
Filiación: | Depto. de Matemática (FCEN), Universidad de Buenos Aires, Pab. I - Ciudad Universitaria, (1428) Buenos Aires, Argentina Depto. de Economía y Matemat., Universidad de San Andrés, CC 35 (1644) Victoria, Buenos Aires, Argentina
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Año: | 2000
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Volumen: | 38
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Número: | 2
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Página de inicio: | 327
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Página de fin: | 342
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DOI: |
http://dx.doi.org/10.1007/BF02384323 |
Título revista: | Arkiv for Matematik
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Título revista abreviado: | Ark. Mat.
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ISSN: | 00042080
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00042080_v38_n2_p327_Lanconelli |
Referencias:
- Aron, R., Berner, P., A Hahn-Banach extension theorem for analytic mappings (1978) Bull. Soc. Math. France, 106, pp. 3-24
- Aron, R., Cole, B., Gamelin, T., Spectra of algebras of analytic functions on a Banach space (1991) J. Reine Angew. Math., 415, pp. 51-93
- Aron, R., Galindo, P., Weakly compact multilinear mappings (1997) Proc. Edinburgh Math. Soc., 40, pp. 181-192
- Aron, R., Galindo, P., García, D., Maestre, M., Regularity and algebras of analytic functions in infinite dimensions (1996) Trans. Amer. Math. Soc., 348, pp. 543-559
- Aron, R., Hervés, C., Valdivia, M., Weakly continuous mappings on Banach spaces (1983) J. Funct. Anal., 52, pp. 189-204
- Cabello Sánchez, F., Castillo, J.M.F., García, R., Polynomials on dual-isomorphic spaces (2000) Ark. Mat., 38, pp. 37-44
- Carando, D., Dimant, V., Duarte, B., Lassalle, S., K-bounded polynomials (1998) Math. Proc. R. Ir. Acad., 98 A, pp. 159-171
- Carando, D., Zalduendo, I., A Hahn-Banach theorem for integral polynomials (1999) Proc. Amer. Math. Soc., 127, pp. 241-250
- Díaz, J.C., Dineen, S., Polynomials on stable spaces (1998) Ark. Mat., 36, pp. 87-96
- Dineen, S., Complex analysis in locally convex spaces (1981) Math. Studies, 57. , North-Holland, Amsterdam
- Ferrera, J., Gómez, J., Llavona, J., On completion of spaces of weakly continuous functions (1983) Bull. London Math. Soc., 15, pp. 260-264
- Godefroy, G., Iochum, B., Arens-regularity on Banach algebras and geometry of Banach spaces (1988) J. Funct. Anal., 80, pp. 47-59
- Gutiérrez, J., Jaramillo, J., Llavona, J., Polynomials and geometry of Banach spaces (1995) Extracta Math., 10, pp. 79-114
- Kirwan, P., Ryan, R., Extendibility of homogeneous polynomials on Banach spaces (1998) Proc. Amer. Math. Soc., 126, pp. 1023-1029
- Mujica, J., Complex analysis in Banach spaces (1986) Math. Studies, 120. , North-Holland, Amsterdam
- Ryan, R., Dunford-Pettis properties (1979) Bull. Acad. Polon. Sci. Sér. Sci. Math., 27, pp. 373-379
- Stegall, C., Duals of certain spaces with the Dunford-Pettis property (1972) Notices Amer. Math. Soc., 19, pp. A799
- Toma, E., (1993) Aplicaçoes Holomorfas e Polinomios τ-continuos, , Thesis, Universidade Federal do Rio de Janeiro, Rio de Janeiro
- Ülger, A., Weakly compact bilinear forms and Arens-regularity (1987) Proc. Amer. Math. Soc., 101, pp. 697-704
- Zalduendo, I., A canonical extension for analytic functions on Banach spaces (1990) Trans. Amer. Math. Soc., 320, pp. 747-763
- Zalduendo, I., Extending polynomials - A survey (1998) Publ. Dep. Análisis Mat., Univ. Complut. Madrid, , Secc. 1, No. 41
Citas:
---------- APA ----------
Lanconelli, E., Morbidelli, D., Lassalle, S. & Zalduendo, I.
(2000)
. On the Poincaré inequality for vector fields. Arkiv for Matematik, 38(2), 327-342.
http://dx.doi.org/10.1007/BF02384323---------- CHICAGO ----------
Lanconelli, E., Morbidelli, D., Lassalle, S., Zalduendo, I.
"On the Poincaré inequality for vector fields"
. Arkiv for Matematik 38, no. 2
(2000) : 327-342.
http://dx.doi.org/10.1007/BF02384323---------- MLA ----------
Lanconelli, E., Morbidelli, D., Lassalle, S., Zalduendo, I.
"On the Poincaré inequality for vector fields"
. Arkiv for Matematik, vol. 38, no. 2, 2000, pp. 327-342.
http://dx.doi.org/10.1007/BF02384323---------- VANCOUVER ----------
Lanconelli, E., Morbidelli, D., Lassalle, S., Zalduendo, I. On the Poincaré inequality for vector fields. Ark. Mat. 2000;38(2):327-342.
http://dx.doi.org/10.1007/BF02384323