Artículo
Cabrelli, C.; Lacey, M.T.; Molter, U.; Pipher, J.C. "Variations on the theme of Journé's Lemma" (2006) Houston Journal of Mathematics. 32(3):833-861
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Abstract:
Journé's Lemma [11] is a critical component of many questions related to the product BMO theory of S.-Y. Chang and R. Fefferman. This article presents several different variants of the Lemma, in two and higher parameters, some known, some implicit in the literature, and some new. © 2006 University of Houston.
Registro:
| Documento: | Artículo |
| Título: | Variations on the theme of Journé's Lemma |
| Autor: | Cabrelli, C.; Lacey, M.T.; Molter, U.; Pipher, J.C. |
| Filiación: | Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Uiudad Universitaria, Pabellón I, 1428 Capital Federal, Argentina School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, United States Department of Mathematics, Brown University, Providence, RI 02912, United States |
| Año: | 2006 |
| Volumen: | 32 |
| Número: | 3 |
| Página de inicio: | 833 |
| Página de fin: | 861 |
| Título revista: | Houston Journal of Mathematics |
| Título revista abreviado: | Houst. J. Math. |
| ISSN: | 03621588 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03621588_v32_n3_p833_Cabrelli |
Referencias:
- Carbery, A., Seeger, A., H p - And L p -variants of multiparameter Calderón-Zygmund theory (1992) Trans. Amer. Math. Soc., 334 (2), pp. 719-747
- Carleson, L., A counterexample for measures bounded on H p spaces for the bidisk (1974) Mittag-leffler Rep. No. 7, , Inst. Mittag-Leffler
- Chang, S.A., Fefferman, R., Some recent developments in Fourier analysis and H p -theory on product domains (1985) Bull. Amer. Math. Soc., 12 (1), pp. 1-43. , N.S
- A continuous version of duality of H 1 with BMO on the bidisc (1980) Ann. of Math. (2), 112 (1), pp. 179-201
- Fefferman, R., Harmonic analysis on product spaces (1987) Ann. of Math. (2), 126 (1), pp. 109-130
- Fefferman, R., A note on Carleson measures in product spaces (1985) Proc. Amer. Math. Soc., 93 (3), pp. 509-511
- Bounded mean oscillation on the polydisk (1979) Ann. of Math. (2), 110 (2), pp. 395-406
- Fefferman, R., Pipher, J., Multiparameter operators and sharp weighted inequalities (1997) Amer. J. Math., 119 (2), pp. 337-369
- Ferguson, S.H., Lacey, M.T., A characterization of product BMO by commutators (2002) Acta Math., 189 (2), pp. 143-160. , http://www.arxiv.org/abs/math.CA/0104144, eprint at
- Krug, D., Torchinsky, A., A weighted version of Journé's lemma (1994) Rev. Mat. Iberoamericana, 10 (2), pp. 363-378
- Journé, J.-L., A covering lemma for product spaces (1986) Proc. Amer. Math. Soc., 96 (4), pp. 593-598
- Calderón-Zygmund operators on product spaces (1985) Rev. Mat. Iberoamericana, 1 (3), pp. 55-91
- Lacey, M.T., Terwilleger, E., (2004) Hankel Operators in Several Complex Variables and Product B MO, , http://www.arxiv.org/abs/math.CA/0310348, eprint at
- Mucalu, C., Pipher, J., Tao, T., Thiele, C., Bi-parameter paraproducts Acta Math., , http://www.arxiv.org/abs/math.CA/0310367, to appear. eprint at
- Multi-parameter Paraproducts, , http://www.arxiv.org/abs/math.CA/0411607, eprint at
- Melas, A.D., The best constant for the centered Hardy-Littlewood maximal inequality (2003) Ann. of Math. (2), 157 (2), pp. 647-688
- On the centered Hardy-Littlewood maximal operator (2002) Trans. Amer. Math. Soc., 354 (8), pp. 3263-3273. , electronic
- Pipher, J., Journé's covering lemma and its extension to higher dimensions (1986) Duke Math. J., 53 (3), pp. 683-690
Citas:
---------- APA ----------
Cabrelli, C., Lacey, M.T., Molter, U. & Pipher, J.C. (2006) . Variations on the theme of Journé's Lemma. Houston Journal of Mathematics, 32(3), 833-861.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03621588_v32_n3_p833_Cabrelli [ ]
---------- CHICAGO ----------
Cabrelli, C., Lacey, M.T., Molter, U., Pipher, J.C. "Variations on the theme of Journé's Lemma" . Houston Journal of Mathematics 32, no. 3 (2006) : 833-861.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03621588_v32_n3_p833_Cabrelli [ ]
---------- MLA ----------
Cabrelli, C., Lacey, M.T., Molter, U., Pipher, J.C. "Variations on the theme of Journé's Lemma" . Houston Journal of Mathematics, vol. 32, no. 3, 2006, pp. 833-861.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03621588_v32_n3_p833_Cabrelli [ ]
---------- VANCOUVER ----------
Cabrelli, C., Lacey, M.T., Molter, U., Pipher, J.C. Variations on the theme of Journé's Lemma. Houst. J. Math. 2006;32(3):833-861.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03621588_v32_n3_p833_Cabrelli [ ]
