Geodesic
Hilbert transforms and maximal functions associated to flat curves on the Heisenberg group
Journal of the American Mathematical Society, Tome 08 (1995) no. 1, pp. 141-179

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Carbery, Anthony; Wainger, Stephen; Wright, James. Hilbert transforms and maximal functions associated to flat curves on the Heisenberg group. Journal of the American Mathematical Society, Tome 08 (1995) no. 1, pp. 141-179. doi: 10.1090/S0894-0347-1995-1273412-0

[1] Carbery, Anthony, Vance, James, Wainger, Stephen, Watson, David The Hilbert transform and maximal function along flat curves, dilations, and differential equations Amer. J. Math. 1994 1203 1239

[2] Carbery, Anthony, Vance, James, Wainger, Stephen, Watson, David, Wright, James 𝐿^{𝑝} estimates for operators associated to flat curves without the Fourier transform Pacific J. Math. 1995 243 262

[3] Carbery, Anthony, Ziesler, Sarah Hilbert transforms and maximal functions along rough flat curves Rev. Mat. Iberoamericana 1994 379 393

[4] Christ, Michael Hilbert transforms along curves. I. Nilpotent groups Ann. of Math. (2) 1985 575 596

[5] Coifman, Ronald R., Weiss, Guido Analyse harmonique non-commutative sur certains espaces homogènes 1971

[6] Nagel, Alexander, Stein, Elias M., Wainger, Stephen Hilbert transforms and maximal functions related to variable curves 1979 95 98

[7] Nagel, A., Stein, E. M., Wainger, S. Differentiation in lacunary directions Proc. Nat. Acad. Sci. U.S.A. 1978 1060 1062

[8] Ricci, Fulvio, Stein, Elias M. Harmonic analysis on nilpotent groups and singular integrals. II. Singular kernels supported on submanifolds J. Funct. Anal. 1988 56 84

[9] Stein, Elias M. Singular integrals and differentiability properties of functions 1970

[10] Sogge, Christopher D., Stein, Elias M. Averages of functions over hypersurfaces in 𝑅ⁿ Invent. Math. 1985 543 556

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