Naijia Liu

most cited

L^{p} (R^{2})

-boundedness of Hilbert Transforms and Maximal Functions along Plane Curves with Two-variable Coefficients

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2021

Hilbert transforms along variable planar curves: Lipschitz regularity

Naijia Liu, Haixia Yu

In this paper, for $1 < p < \infty$ , we obtain the $L^{p}$ -boundedness of the Hilbert transform $H^{γ}$ along a variable plane curve $(t, u (x_{1}, x_{2}) γ (t))$ , where $u$ is a Lipschitz functio…

math.CA2020★ 1 cited

$L^{p} (R^{2})$ -boundedness of Hilbert Transforms and Maximal Functions along Plane Curves with Two-variable Coefficients

Naijia Liu, Liang Song, Haixia Yu

In this paper, for general plane curves $γ$ satisfying some suitable smoothness and curvature conditions, we obtain the single annulus $L^{p} (R^{2})$ -boundedness of the Hilber…

Hilbert transforms along variable planar curves: Lipschitz regularity

Lp(R2)-boundedness of Hilbert Transforms and Maximal Functions along Plane Curves with Two-variable Coefficients

$L^{p} (R^{2})$ -boundedness of Hilbert Transforms and Maximal Functions along Plane Curves with Two-variable Coefficients