Hilbert transforms and maximal functions associated to flat curves on the Heisenberg group
Authors:
Anthony Carbery, Stephen Wainger and James Wright
Journal:
J. Amer. Math. Soc. 8 (1995), 141-179
MSC:
Primary 43A80; Secondary 22E20, 42B20, 42B25
DOI:
https://doi.org/10.1090/S0894-0347-1995-1273412-0
MathSciNet review:
1273412
Full-text PDF Free Access
References | Similar Articles | Additional Information
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- Anthony Carbery, James Vance, Stephen Wainger, David Watson, and James Wright, $L^p$ estimates for operators associated to flat curves without the Fourier transform, Pacific J. Math. 167 (1995), no. 2, 243–262. MR 1328328 A. Carbery, J. Vance, S. Wainger, and J. Wright, A variant of the notion of a space of homogeneous type (to appear).
- Anthony Carbery and Sarah Ziesler, Hilbert transforms and maximal functions along rough flat curves, Rev. Mat. Iberoamericana 10 (1994), no. 2, 379–393. MR 1286480, DOI https://doi.org/10.4171/RMI/156 M. Christ, Hilbert transforms along curves, III. Rotational curvature, preprint, 1985.
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© Copyright 1995
American Mathematical Society