Artículo
Ombrosi, S.; Segovia, C.; Testoni, R. "An interpolation theorem between one-sided Hardy spaces" (2006) Arkiv for Matematik. 44(2):335-348
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Abstract:
In this paper we generalize an interpolation result due to J.-O. Strömberg and A. Torchinsky to the case of one-sided Hardy spaces. This generalization is important in the study of the weak type (1,1) for lateral strongly singular operators. We shall need an atomic decomposition in which for every atom there exists another atom supported contiguously at its right. In order to obtain this decomposition we have developed a rather simple technique to break up an atom into a sum of others atoms. © 2006 by Institut Mittag-Leffler. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | An interpolation theorem between one-sided Hardy spaces |
| Autor: | Ombrosi, S.; Segovia, C.; Testoni, R. |
| Filiación: | Departamento de Matemática, Universidad National Del Sur, Avenida Alem 1253, (8000) Bahia Blanca, Buenos Aires, Argentina Departamento de Matemática, FCEyN, Ciudad Universitaria, (1428) Ciudad de Buenos Aires, Argentina Instituto Argentino de Matemática, CONICET, Saavedra 15, 3o piso, (1083) Ciudad de Buenos Aires, Argentina |
| Año: | 2006 |
| Volumen: | 44 |
| Número: | 2 |
| Página de inicio: | 335 |
| Página de fin: | 348 |
| DOI: | http://dx.doi.org/10.1007/s11512-006-0022-9 |
| Título revista: | Arkiv for Matematik |
| Título revista abreviado: | Ark. Mat. |
| ISSN: | 00042080 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00042080_v44_n2_p335_Ombrosi.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00042080_v44_n2_p335_Ombrosi |
Referencias:
- CALDERÓN, A.P., Intermediate spaces and interpolation, the complex method (1964) Studia Math, 24, pp. 113-190
- CHANILLO, S., Weighted norm inequalities for strongly singular convolution operators (1984) Trans. Amer. Math. Soc, 281, pp. 77-107
- MARTÍN-REYES, F.J., PICK, L., DE LA TORRE, A., A∞+ condition (1993) Canad. J. Math, 45, pp. 1231-1244
- DE ROSA, L., SEGOVIA, C., Weighted Hp spaces for one sided maximal functions (1995) Contemp. Math, 189, pp. 161-183
- DE ROSA, L., SEGOVIA, C., Equivalence of norms in one-sided Hp spaces (2002) Collect. Math, 53, pp. 1-20
- SAWYER, E., Weighted inequalities for the one-sided Hardy-Littlewood maximal functions (1986) Trans. Amer. Math. Soc, 297, pp. 53-61
- STRÖMBERG, J.-O., TORCHINSKY, A., Weighted Hardy Spaces (1989) Lecture Notes in Math, 1381. , Springer, Berlin
Citas:
---------- APA ----------
Ombrosi, S., Segovia, C. & Testoni, R. (2006) . An interpolation theorem between one-sided Hardy spaces. Arkiv for Matematik, 44(2), 335-348.http://dx.doi.org/10.1007/s11512-006-0022-9
---------- CHICAGO ----------
Ombrosi, S., Segovia, C., Testoni, R. "An interpolation theorem between one-sided Hardy spaces" . Arkiv for Matematik 44, no. 2 (2006) : 335-348.http://dx.doi.org/10.1007/s11512-006-0022-9
---------- MLA ----------
Ombrosi, S., Segovia, C., Testoni, R. "An interpolation theorem between one-sided Hardy spaces" . Arkiv for Matematik, vol. 44, no. 2, 2006, pp. 335-348.http://dx.doi.org/10.1007/s11512-006-0022-9
---------- VANCOUVER ----------
Ombrosi, S., Segovia, C., Testoni, R. An interpolation theorem between one-sided Hardy spaces. Ark. Mat. 2006;44(2):335-348.http://dx.doi.org/10.1007/s11512-006-0022-9
