Nagel, Alexander; Wainger, Stephen Hilbert transforms associated with plane curves. (English) Zbl 0341.44005 Trans. Am. Math. Soc. 223, 235-252 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 25 Documents MSC: 44A15 Special integral transforms (Legendre, Hilbert, etc.) 42A50 Conjugate functions, conjugate series, singular integrals 42A45 Multipliers in one variable harmonic analysis 42B25 Maximal functions, Littlewood-Paley theory PDF BibTeX XML Cite \textit{A. Nagel} and \textit{S. Wainger}, Trans. Am. Math. Soc. 223, 235--252 (1976; Zbl 0341.44005) Full Text: DOI References: [1] Alexander Nagel and Stephen Wainger, \?² boundedness of Hilbert transforms along surfaces and convolution operators homogeneous with respect to a multiple parameter group, Amer. J. Math. 99 (1977), no. 4, 761 – 785. · Zbl 0374.44003 [2] Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. · Zbl 0207.13501 [3] Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton University Press, Princeton, N.J., 1971. Princeton Mathematical Series, No. 32. · Zbl 0232.42007 [4] A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. · Zbl 0085.05601 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.