# Hilbert transforms along variable planar curves: Lipschitz regularity

@article{Liu2021HilbertTA,
title={Hilbert transforms along variable planar curves: Lipschitz regularity},
author={Naijia Liu and Haixia Yu},
journal={Journal of Functional Analysis},
year={2021}
}
• Published 25 April 2021
• Mathematics
• Journal of Functional Analysis
1 Citations

### Uniform $L^p$ estimates for the Hilbert transform and maximal operator along a new class of variable curves

We investigate the linear Hilbert transform and maximal operator along a new class of variable non-flat polynomial curves and prove uniform L-boundedness for 1 < p < ∞. The uniform is in a sense that

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