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Literature Cited
R. R. Coifman and Y. Meyer, Au Delà des Opérateurs Pseudo-Différentiels, Astérisque No. 57, Soc. Math. France, Paris (1978).
R. R. Coifman, A. McIntosh, and Y. Meyer, “L'intégrale de Cauchy définit un opérateur borné sur L2 pour les courbes lipschitziennes,” Ann. Math.,116, No. 2, 361–387 (1982).
B. Muckenhoupt, “Weighted norm inequalities for the Hardy maximal function,” Trans. Am. Math. Soc.,165, 207–226 (1972).
R. Hunt, B. Muckenhoupt, and R. Wheeden, “Weighted norm inequalities for the conjugate function and Hilbert transform,” Trans. Am. Math. Soc.,176, 227–251 (1973).
R. R. Coifman and C. Fefferman, “Weighted norm inequalities for maximal function and singular integrals,” Stud. Math.,51, No. 3, 241–250 (1974).
E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press (1970).
R. A. Hunt, “An estimate of the conjugate function,” Stud. Math.,44, No. 4, 371–377 (1972).
L. Carleson, “On convergence and growth of partial sums of Fourier series,” Acta Math.,116, 135–157 (1966).
I. P. Natanson, Theory of Functions of a Real Variable [in Russian], Nauka, Moscow (1974).
R. R. Coifman, “Distribution function inequalities for singular integrals,” Proc. Nat. Acad. Sci. U.S.A.,69, 2838–2839 (1972).
M. Kanenko and S. Yano, “Weighted norm inequalities for singular integrals,” J. Math. Soc. Jpn.,27, No. 4, 570–588 (1975).
Additional information
Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 1, pp. 185–198, January–February, 1987.
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Pal'tsev, B.V. Estimation of norms of singular integral operators in Lp spaces with weights, satisfying Muckenhoupt's condition. Sib Math J 28, 142–153 (1987). https://doi.org/10.1007/BF00970224
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DOI: https://doi.org/10.1007/BF00970224