Naijia Liu

activity

20192023

most citedCharacterizations of the Hardy space

H_{F I O}^{1} (R^{n})

for Fourier integral operators

4 citations · 5 across the 5 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.CA2022

Singular spherical maximal operators on a class of degenerate two-step nilpotent Lie groups

Naijia Liu, Lixin Yan

Let $G ≅ R^{d} ⋉ R$ be a finite-dimensional two-step nilpotent group with the group multiplication $(x, u) \cdot (y, v) \to (x + y, u + v + x^{T} J y)$ where $J$ …

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…

Singular spherical maximal operators on a class of degenerate two-step nilpotent Lie groups

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