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}
}

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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