Artículo
De Rosa, L.; Segovia, C. "Some weighted norm inequalities for a one-sided version of g* λ" (2006) Studia Mathematica. 176(1):21-36
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Abstract:
We study the boundedness of the one-sided operator g λ,φ + between the weighted spaces L p(M - w) and L p(w) for every weight w. If λ = 2/p whenever 1 < p < 2, and in the case p = 1 for λ > 2, we prove the weak type of g λ,φ + For every λ > 1 and p = 2, or λ > 2/p and 1 < p < 2, the boundedness of this operator is obtained. For p > 2 and λ > 1, we obtain the boundedness of g λ,φ + from L p((M -) [p/2]+1w) to L p(w), where (M -) k denotes the operator M - iterated k times.
Registro:
| Documento: | Artículo |
| Título: | Some weighted norm inequalities for a one-sided version of g* λ |
| Autor: | De Rosa, L.; Segovia, C. |
| Filiación: | Juan José Olleros 2969 8 B, 1426 Buenos Aires, Argentina Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Instituto Argentino de Matemática, CONICET, Saavedra 15 3er Piso, 1083 Buenos Aires, Argentina |
| Palabras clave: | Littlewood-Paley theory; One-sided maximal functions; One-sided weights |
| Año: | 2006 |
| Volumen: | 176 |
| Número: | 1 |
| Página de inicio: | 21 |
| Página de fin: | 36 |
| DOI: | http://dx.doi.org/10.4064/sm176-1-2 |
| Título revista: | Studia Mathematica |
| Título revista abreviado: | Stud. Math. |
| ISSN: | 00393223 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00393223_v176_n1_p21_DeRosa.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v176_n1_p21_DeRosa |
Referencias:
- Chanillo, S., Wheeden, R., Some weighted norm inequalities for the area integral (1987) Indiana Univ. Math. J., 36, pp. 277-294. , [CW]
- Fefferman, C.L., Inequalities for strongly singular convolution operators (1970) Acta Math., 124, pp. 9-36. , [F]
- Cuerva, J.G., Rubio De Francia, J.L., (1985) Weighted Norm Inequalities and Related Topics, , [GRu], North-Holland, Amsterdam
- Hewitt, E., Stromberg, K., (1965) Real and Abstract Analysis, , [HSt], Springer, New York
- Martín-Reyes, F.J., New proofs of weighted inequalities for the one-sided Hardy-Littlewood maximal functions (1993) Proc. Amer. Math. Soc., 117, pp. 691-698. , [M]
- Pérez, C., Banach function spaces and the two-weight problem for maximal functions (1996) Function Spaces, Differential Operators and Nonlinear Analysis, pp. 141-158. , [P] (Paseky, 1995), Prometheus, Praha
- Riveros, M.S., De Rosa, L., De La Torre, A., Sufficient conditions for one-sided operators (2000) J. Fourier Anal. Appl., 6, pp. 607-621. , [RiRoT]
- De Rosa, L., Segovia, C., One-sided Littlewood-Paley theory (1997) J. Fourier Anal. Appl., 3, pp. 933-957. , [RoSe]
- Zygmund, A., (1935) Trigonometrical Series, , [Z], Monografje Mat., Warszawa-Lwów
Citas:
---------- APA ----------
De Rosa, L. & Segovia, C. (2006) . Some weighted norm inequalities for a one-sided version of g* λ. Studia Mathematica, 176(1), 21-36.http://dx.doi.org/10.4064/sm176-1-2
---------- CHICAGO ----------
De Rosa, L., Segovia, C. "Some weighted norm inequalities for a one-sided version of g* λ" . Studia Mathematica 176, no. 1 (2006) : 21-36.http://dx.doi.org/10.4064/sm176-1-2
---------- MLA ----------
De Rosa, L., Segovia, C. "Some weighted norm inequalities for a one-sided version of g* λ" . Studia Mathematica, vol. 176, no. 1, 2006, pp. 21-36.http://dx.doi.org/10.4064/sm176-1-2
---------- VANCOUVER ----------
De Rosa, L., Segovia, C. Some weighted norm inequalities for a one-sided version of g* λ. Stud. Math. 2006;176(1):21-36.http://dx.doi.org/10.4064/sm176-1-2
