Variations on the theme of Journé's Lemma

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 Univers...

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Autor principal: Cabrelli, C.
Otros Autores: Lacey, M.T, Molter, U., Pipher, J.C
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2006
Acceso en línea:Registro en Scopus
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270 1 0 |m Cabrelli, C.; Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Uiudad Universitaria, Pabellón I, 1428 Capital Federal, Argentina; email: cabrelli@dm.uba.ar 
506 |2 openaire  |e Política editorial 
504 |a 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 
504 |a Carleson, L., A counterexample for measures bounded on H p spaces for the bidisk (1974) Mittag-leffler Rep. No. 7, , Inst. Mittag-Leffler 
504 |a 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 
504 |a A continuous version of duality of H 1 with BMO on the bidisc (1980) Ann. of Math. (2), 112 (1), pp. 179-201 
504 |a Fefferman, R., Harmonic analysis on product spaces (1987) Ann. of Math. (2), 126 (1), pp. 109-130 
504 |a Fefferman, R., A note on Carleson measures in product spaces (1985) Proc. Amer. Math. Soc., 93 (3), pp. 509-511 
504 |a Bounded mean oscillation on the polydisk (1979) Ann. of Math. (2), 110 (2), pp. 395-406 
504 |a Fefferman, R., Pipher, J., Multiparameter operators and sharp weighted inequalities (1997) Amer. J. Math., 119 (2), pp. 337-369 
504 |a 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 
504 |a Krug, D., Torchinsky, A., A weighted version of Journé's lemma (1994) Rev. Mat. Iberoamericana, 10 (2), pp. 363-378 
504 |a Journé, J.-L., A covering lemma for product spaces (1986) Proc. Amer. Math. Soc., 96 (4), pp. 593-598 
504 |a Calderón-Zygmund operators on product spaces (1985) Rev. Mat. Iberoamericana, 1 (3), pp. 55-91 
504 |a 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 
504 |a 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 
504 |a Multi-parameter Paraproducts, , http://www.arxiv.org/abs/math.CA/0411607, eprint at 
504 |a Melas, A.D., The best constant for the centered Hardy-Littlewood maximal inequality (2003) Ann. of Math. (2), 157 (2), pp. 647-688 
504 |a On the centered Hardy-Littlewood maximal operator (2002) Trans. Amer. Math. Soc., 354 (8), pp. 3263-3273. , electronic 
504 |a Pipher, J., Journé's covering lemma and its extension to higher dimensions (1986) Duke Math. J., 53 (3), pp. 683-690 
520 3 |a 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.  |l eng 
593 |a Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Uiudad Universitaria, Pabellón I, 1428 Capital Federal, Argentina 
593 |a School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, United States 
593 |a Department of Mathematics, Brown University, Providence, RI 02912, United States 
700 1 |a Lacey, M.T. 
700 1 |a Molter, U. 
700 1 |a Pipher, J.C. 
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