$$L^{p}$$ Boundedness of Carleson & Hilbert Transforms Along Plane Curves with Certain Curvature Constraints
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s00041-021-09902-6.pdf
Reference25 articles.
1. Bateman, M.: Single annulus $$L^p$$ estimates for Hilbert transforms along vector fields. Rev. Mat. Iberoam. 29(3), 1021–1069 (2013)
2. Bateman, M., Thiele, C.: $$L^p$$ estimates for the Hilbert transforms along a one-variable vector field. Anal. PDE 6(7), 1577–1600 (2013)
3. Bennett, J.M.: Hilbert transforms and maximal functions along variable flat curves. Trans. Am. Math. Soc. 354(12), 4871–4892 (2002)
4. Carbery, A., Christ, M., Vance, J., Wainger, S., Watson, D.: Operators associated to flat plane curves: $$L^p$$ estimates via dilation methods. Duke Math. J. 59(3), 675–700 (1989)
5. Carbery, A., Vance, J., Wainger, S., Watson, D.: The Hilbert transform and maximal function along flat curves, dilations, and differential equations. Am. J. Math. 116(5), 1203–1239 (1994)
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