Abstract:
In this paper we give a multiplier theorem for one-sided Hardy spaces which generalizes the results given by Strmberg and Torchinsky for two-sided weights. Also we state the Lωp version with a Sawyer's weight ω. © 2009 Copyright Royal Society of Edinburgh.
Registro:
Documento: |
Artículo
|
Título: | A multiplier theorem for one-sided Hardy spaces |
Autor: | Segovia, C.; Testoni, R. |
Filiación: | Instituto Argentino de Matemtica, CONICET, 1083 Ciudad de Buenos Aires, Argentina Departamento de Matemtica, Universidad de Buenos Aires, 1428 Ciudad de Buenos Aires, Argentina Departamento de Matemática, Universidad Nacional Del sur, Av. Leandro N. Alem 1253, 8000 BahíaBlanca,Buenos Aires, Argentina
|
Año: | 2009
|
Volumen: | 139
|
Número: | 1
|
Página de inicio: | 209
|
Página de fin: | 223
|
DOI: |
http://dx.doi.org/10.1017/S0308210507000017 |
Título revista: | Proceedings of the Royal Society of Edinburgh Section A: Mathematics
|
Título revista abreviado: | Proc. R. Soc. Edinburgh Sect. A Math.
|
ISSN: | 03082105
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03082105_v139_n1_p209_Segovia |
Referencias:
- Aimar, H., Forzani, L., Martín-Reyes, F.J., On weighted inequalities for one-sided singular integrals (1997) Proc. Aw,. Math. Soc, 125, pp. 2057-2064
- Cruz-Uribe, D., Neugebauer, C.J., Olsen, V., The one-sided minimal operator and the one-sided reverse Holder inequality (1995) Studia Math, 116, pp. 255-270
- 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., One-sided Littlewood - Paley theory (1997) J. Fourier Analysis Applic, 3 (SPEC. ISSUE), pp. 933-957
- de Rosa, L., Segovia, C., Equivalence of norms in one-sided H p spaces (2002) Collectanea Math, 53, pp. 1-20
- Martín-Reyes, F.J., New proofs of weighted inequalities for the one-sided Hardy - Littlewood maximal functions (1993) Proc. Am,. Math. Soc, 117, pp. 691-698
- Martin-Reyes, F.J., Ortega Salvador, P., de la Torre, A., Weighted inequalities for onesided maximal functions (1990) Trans. Aw,. Math. Soc, 319, pp. 517-534
- Martín-Reyes, F.J., Pick, L., de la Torre, A., A +∞, condition (1993) Can. J. Math, 45, pp. 1231-1244
- Ombrosi, S., Segovia, C., Testoni, R., An interpolation theorem between one-sided Hardy spaces (2006) Ark. Mat, 44, pp. 335-348
- Riveros, M.S., de la Torre, A., On the best ranges for A +p and RH+r (2001) Czech. Math. J, 51, pp. 285-301
- Sawyer, E., Weighted inequalities for the one-sided Hardy - Littlewood maximal functions (1986) Trans, 297, pp. 53-61. , Aw. Math. Soc
- Shambayati, R., Zielezny, Z., On Fourier transforms of distributions with one-sided bounded support (1983) Proc. Aw. Math. Soc, 88, pp. 237-243
- Stein, E.M., (1970) Singular integrals and differentiability properties of functions, , Princeton University Press
- Strömberg, J.-O., Torchinsky, A., Weighted Hardy spaces (1989) Lecture Notes in Mathematics, 1381. , Springer
- Testoni, R., (2005) Acotación y tipo débil de operadores fuertemente singulares laterales en espacios Lp ω con peso ω ∈ A+ p, , Doctoral thesis, Universidad de Buenos Aires, Argentina
Citas:
---------- APA ----------
Segovia, C. & Testoni, R.
(2009)
. A multiplier theorem for one-sided Hardy spaces. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 139(1), 209-223.
http://dx.doi.org/10.1017/S0308210507000017---------- CHICAGO ----------
Segovia, C., Testoni, R.
"A multiplier theorem for one-sided Hardy spaces"
. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 139, no. 1
(2009) : 209-223.
http://dx.doi.org/10.1017/S0308210507000017---------- MLA ----------
Segovia, C., Testoni, R.
"A multiplier theorem for one-sided Hardy spaces"
. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 139, no. 1, 2009, pp. 209-223.
http://dx.doi.org/10.1017/S0308210507000017---------- VANCOUVER ----------
Segovia, C., Testoni, R. A multiplier theorem for one-sided Hardy spaces. Proc. R. Soc. Edinburgh Sect. A Math. 2009;139(1):209-223.
http://dx.doi.org/10.1017/S0308210507000017