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References
Chanillo, S., Weighted norm inequalities for strongly singular convolution operators,Trans. Amer. Math. Soc. 281 (1984), 77–107.
Chanillo, S. andChrist, M., Weak (1, 1) bounds for oscillatory singular integrals,Duke Math. J. 55 (1987), 141–155.
Chanillo, S., Kurtz, D. andSampson, G., WeightedL p estimates for oscillating kernels,Ark. Mat. 21 (1983), 233–257.
Chanillo, S. Kurtz, D. andSampson, G., Weighted weak (1, 1) and weightedL p estimates for oscillating kernels,Trans. Amer. Math. Soc. 295 (1986), 127–145.
Coifman, R. andFefferman, C., Weighted norm inequalities for maximal functions and singular integrals,Studia Math. 51 (1974), 241–250.
Hu, Y., WeightedL p estimates for oscillatory integrals,preprint.
Hu, Y., Oscillatory singular integrals on weighted Hardy spaces,preprint.
Muckenhoupt, B., Weighted norm inequalities for the Hardy maximal function,Trans. Amer. Math. Soc. 165 (1972), 207–226.
Pan, Y., Hardy spaces and oscillatory singular integrals,Rev. Mat. Iberoamericana 7 (1991), 55–64.
Phong, D. H. andStein, E. M., Hilbert integrals, singular integrals and Radon transforms I,Acta Math. 157 (1986), 99–157.
Ricci, F. andStein, E. M., Harmonic analysis on nilpotent groups and singular integrals, I,J. Funct. Anal. 73 (1987), 179–194.
Stein, E. M., Oscillatory integrals in Fourier analysis, inBeijing Lectures in Harmonic Analysis, Princeton Univ Press, Princeton, 1986.
Stein, E. M. andWeiss, G.,Introduction to Fourier analysis on Euclidean spaces, Princeton Univ. Press, Princeton, 1971.
Strömberg, J. O. andTorchinsky, A.,Weighted Hardy spaces,Lecture Notes in Math. 1381, Springer-Verlag, Berlin-Heidelberg, 1989.
Wheeden, R., A boundary value characterization of weightedH 1,L'Enseignement Math. 24 (1976), 121–134.
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Hu, Y., Pan, Y. Boundedness of oscillatory singular integrals on Hardy spaces. Ark. Mat. 30, 311–320 (1992). https://doi.org/10.1007/BF02384877
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DOI: https://doi.org/10.1007/BF02384877