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Chang, S.Y.A., Wilson, J.M., and Wolff, T.H. (1985). Some weighted norm inequalities concerning the Schrödinger operators.Comm. Math. Helvetici 60, 217–286.
Chiarenza, F., Frasca, M., and Longo, P. (1991). InteriorW 2,p estimates for non divergence elliptic equations with discontinuous coefficients.Ricerche Mat. 40, 149–168.
Chiarenza, F., Frasca, M., and Longo, P. (1993).W 2,p- solvability of the Dirichlet problem for nondivergence elliptic equations with VMO coefficients.Trans. Amer. Math. Soc. 334, 841–853.
Coifman, R. (1972). Distribution function inequalities for singular integrals.Proc. Acad. Sci. U.S.A. 69, 2838–2839.
Coifman, R., Rochberg, R., and Weiss, G. (1976). Factorization theorems for Hardy spaces in several variables.Ann. of Math.(2)103, 611–635.
Di Fazio, G. and Ragusa, M.A. (1993). Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients.J. Funct. Anal. 112, 241–256.
Garcia-Cuerva, J. and Rubio de Francia, J.L. (1985). Weighted norm inequalities and related topics.North-Holland Math. Stud. 116. North-Holland, Amsterdam.
Greco, L. and Iwaniec, T. (1994). New inequalities for the Jacobian.Ann. Inst. H. Poincare 11, 17–35.
Hunt, R.A., Muckenhoupt, B., and Wheeden, R.L. (1973). Weighted norm inequalities for the conjugate function and Hilbert transform.Trans. Amer. Math. Soc. 176, 227–252.
Iwaniec, T. and Sbordone, C. Weak minima of variational integrals.J. Reine Angew Math. 454, 143–161.
Janson, S. (1978). Mean oscillation and commutators of singular integral operators.Ark. Math. 16, 263–270.
Journé, J.L. (1983). Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón.Lecture Notes in Math. 994. Springer-Verlag, New York.
Milman, M. (1995). Extrapolation and optimal decompositions.Lecture Notes in Math. 1580. Springer-Verlag, New York.
O’Neil, R. (1963). Fractional integration in Orlicz spaces.Trans. Amer. Math. Soc. 115, 300–328.
O’Neil, R. (1968). Integral transforms and tensor products on Orlicz spaces andL p,q spaces.J. Anal. Math. 21, 1–276.
Pérez, C. (1995). On sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator between weightedL p -spaces with different weights.Proc. London Math. Soc. (3)71, 135–157.
Pérez, C. (1995). Endpoint estimates for commutators of singular integral operators.J. Funct. Anal. 128, 163–185.
Pérez, C. (1994). Weighted norm inequalities for singular integral operators.J. London Math. Soc. 49, 296–308.
Rochberg, R. and Weiss, G. (1983). Derivatives of analytic families of Banach spaces.Ann. of Math. (2)118.
Stein, E.M. (1969). Note on the classL logL.Studia Math. 32, 305–310.
Wilson, J.M. (1989). Weighted norm inequalities for the continuos square functions.Trans. Amer. Math. Soc. 314, 661–692.
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Pérez, C. Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function. The Journal of Fourier Analysis and Applications 3, 743–756 (1997). https://doi.org/10.1007/BF02648265
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DOI: https://doi.org/10.1007/BF02648265