New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory
Tài liệu tham khảo
Alvarez, 1994, Estimates with A∞ weights for various singular integral operators, Boll. Unione Mat. Ital. Sez. A (7), 8, 123
Bennett, 1988, Interpolation of Operators, vol. 129
Calderón, 1952, On the existence of certain singular integrals, Acta Math., 88, 85, 10.1007/BF02392130
Chiarenza, 1991, Interior W2,p estimates for non-divergence elliptic equations with discontinuous coefficients, Ric. Mat., 40, 149
Chiarenza, 1993, W2,p-solvability of the Dirichlet problem for non-divergence elliptic equations with VMO coefficients, Trans. Amer. Math. Soc., 334, 841
Christ, 1990, Lectures on Singular Integral Operators, vol. 77
Christ, 1983, A note on weighted norm inequalities for the Hardy–Littlewood maximal operator, Proc. Amer. Math. Soc., 87, 447, 10.1090/S0002-9939-1983-0684636-9
Christ, 1987, Polynomial growth estimates for multilinear singular integral operators, Acta Math., 159, 51, 10.1007/BF02392554
Coifman, 1974, Weighted norm inequalities for maximal functions and singular integrals, Studia Math., 51, 241, 10.4064/sm-51-3-241-250
Coifman, 1975, On commutators of singular integrals and bilinear singular integrals, Trans. Amer. Math. Soc., 212, 315, 10.1090/S0002-9947-1975-0380244-8
Coifman, 1978, Commutateurs d'intégrales singulières et opérateurs multilinéaires, Ann. Inst. Fourier (Grenoble), 28, 177, 10.5802/aif.708
Coifman, 1986, Nonlinear harmonic analysis, operator theory and P.D.E., vol. 112, 3
Coifman, 1976, Factorization theorems for Hardy spaces in several variables, Ann. of Math., 103, 611, 10.2307/1970954
Cruz-Uribe, 2005, Weighted weak-type inequalities and a conjecture of Sawyer, Int. Math. Res. Not., 30, 1849, 10.1155/IMRN.2005.1849
Cruz-Uribe, 1995, The structure of the reverse Hölder classes, Trans. Amer. Math. Soc., 347, 2941
Curbera, 2006, Extrapolation with weights to rearrangement invariant function spaces and modular inequalities, with applications to singular integrals, Adv. Math., 203, 256, 10.1016/j.aim.2005.04.009
Di Fazio, 1993, Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients, J. Funct. Anal., 112, 241, 10.1006/jfan.1993.1032
Fefferman, 1971, Some maximal inequalities, Amer. J. Math., 93, 107, 10.2307/2373450
Fefferman, 1972, Hp spaces of several variables, Acta Math., 129, 137, 10.1007/BF02392215
Fefferman, 1999, Multiparameter Calderón–Zygmund theory, 207
Ferguson, 2002, A characterization of product BMO by commutators, Acta Math., 189, 143, 10.1007/BF02392840
García-Cuerva, 1985
Grafakos, 2004
Grafakos, 2004, Extrapolation of weighted norm inequalities for multivariable operators and applications, J. Geom. Anal., 14, 19, 10.1007/BF02921864
Grafakos, 2002, Multilinear Calderón–Zygmund theory, Adv. Math., 165, 124, 10.1006/aima.2001.2028
Grafakos, 2002, Maximal operator and weighted norm inequalities for multilinear singular integrals, Indiana Univ. Math. J., 51, 1261, 10.1512/iumj.2002.51.2114
Grafakos, 2002, On multilinear singular integrals of Calderón–Zygmund type, 57
Iwaniec, 1994, Weak minima of variational integrals, J. Reine Angew. Math., 454, 143
Janson, 1978, Mean oscillation and commutators of singular integral operators, Ark. Mat., 16, 263, 10.1007/BF02386000
Jawerth, 1985, Local sharp maximal functions, J. Approx. Theory, 43, 231, 10.1016/0021-9045(85)90102-9
John, 1961, On functions of bounded mean oscillation, Comm. Pure Appl. Math., 14, 415, 10.1002/cpa.3160140317
Journé, 1983, Calderón–Zygmund Operators, Pseudo-differential Operators and the Cauchy Integral of Calderón, vol. 994
Kenig, 1999, Multilinear estimates and fractional integration, Math. Res. Lett., 6, 1, 10.4310/MRL.1999.v6.n1.a1
M. Lacey, S. Petermichl, J. Pipher, B. Wick, Multiparameter Riesz commutators, Amer. J. Math., in press
Lacey, 1997, Lp estimates on the bilinear Hilbert transform for 2<p<∞, Ann. of Math. (2), 146, 693, 10.2307/2952458
Lacey, 1999, On Calderón's conjecture, Ann. of Math. (2), 149, 475, 10.2307/120971
Lerner, 2004, On some pointwise inequalities, J. Math. Anal. Appl., 289, 248, 10.1016/j.jmaa.2003.09.051
Lerner, 2008, An elementary approach to several results on the Hardy–Littlewood maximal operator, Proc. Amer. Math. Soc., 136, 2829, 10.1090/S0002-9939-08-09318-0
Martín-Reyes, 1995, On the one-sided Hardy–Littlewood maximal function in the real line and in dimensions greater than one, 237
Muckenhoupt, 1972, Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc., 165, 207, 10.1090/S0002-9947-1972-0293384-6
Pérez, 1994, Weighted norm inequalities for singular integral operators, J. London Math. Soc., 49, 296, 10.1112/jlms/49.2.296
Pérez, 1995, Endpoint estimates for commutators of singular integral operators, J. Funct. Anal., 128, 163, 10.1006/jfan.1995.1027
Pérez, 1995, On sufficient conditions for the boundedness of the Hardy–Littlewood maximal operator between weighted Lp-spaces with different weights, Proc. London Math. Soc. (3), 71, 135, 10.1112/plms/s3-71.1.135
Pérez, 2001, Sharp weighted endpoint estimates for commutators of singular integral operators, Michigan Math. J., 49, 23
Pérez, 2003, Sharp maximal function estimates for multilinear singular integrals, vol. 320, 323
Rao, 1991
Stein, 1969, Note on the class LlogL, Studia Math., 32, 305, 10.4064/sm-32-3-305-310
Stein, 1998, Singular integrals: The roles of Calderón and Zygmund, Notices Amer. Math. Soc., 45, 1130
Volberg, 2003, Calderón–Zygmund Capacities and Operators on Nonhomogeneous Spaces, vol. 100
Wilson, 2008, Weighted Littlewood–Paley Theory and Exponential-Square Integrability, vol. 1924