Artículo
Harboure, E.; De Rosa, L.; Segovia, C.; Torrea, J.L. "Lp-dimension free boundedness for Riesz transforms associated to Hermite functions" (2004) Mathematische Annalen. 328(4):653-682
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Abstract:
Riesz transforms associated to Hermite functions were introduced by S. Thangavelu, who proved that they are bounded operators on L p(ℝd), 1 < p < ∞. In this paper we give a different proof that allows us to show that the Lp-norms of these operators are bounded by a constant not depending on the dimension d. Moreover, we define Riesz transforms of higher order and free dimensional estimates of the Lp -bounds of these operators are obtained. In order to prove the mentioned results we give an extension of the Littlewood-Paley theory that we believe of independent interest.
Registro:
| Documento: | Artículo |
| Título: | Lp-dimension free boundedness for Riesz transforms associated to Hermite functions |
| Autor: | Harboure, E.; De Rosa, L.; Segovia, C.; Torrea, J.L. |
| Filiación: | Departamento de Matemática, Fac. de Ing. Química, CONICET, 3000 Santa Fe, Argentina Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, CONICET, 1428 ciudad de buenos aires, Argentina Facultad de Ciencias, Univ. Autónoma de Madrid, Ciudad Universitaria de Canto Blanco, 28049 Madrid, Spain |
| Año: | 2004 |
| Volumen: | 328 |
| Número: | 4 |
| Página de inicio: | 653 |
| Página de fin: | 682 |
| DOI: | http://dx.doi.org/10.1007/s00208-003-0501-2 |
| Título revista: | Mathematische Annalen |
| Título revista abreviado: | Math. Ann. |
| ISSN: | 00255831 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255831_v328_n4_p653_Harboure |
Referencias:
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Citas:
---------- APA ----------
Harboure, E., De Rosa, L., Segovia, C. & Torrea, J.L. (2004) . Lp-dimension free boundedness for Riesz transforms associated to Hermite functions. Mathematische Annalen, 328(4), 653-682.http://dx.doi.org/10.1007/s00208-003-0501-2
---------- CHICAGO ----------
Harboure, E., De Rosa, L., Segovia, C., Torrea, J.L. "Lp-dimension free boundedness for Riesz transforms associated to Hermite functions" . Mathematische Annalen 328, no. 4 (2004) : 653-682.http://dx.doi.org/10.1007/s00208-003-0501-2
---------- MLA ----------
Harboure, E., De Rosa, L., Segovia, C., Torrea, J.L. "Lp-dimension free boundedness for Riesz transforms associated to Hermite functions" . Mathematische Annalen, vol. 328, no. 4, 2004, pp. 653-682.http://dx.doi.org/10.1007/s00208-003-0501-2
---------- VANCOUVER ----------
Harboure, E., De Rosa, L., Segovia, C., Torrea, J.L. Lp-dimension free boundedness for Riesz transforms associated to Hermite functions. Math. Ann. 2004;328(4):653-682.http://dx.doi.org/10.1007/s00208-003-0501-2
