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

5 papers

cond-mat.mtrl-sci2023

A Framework for Ductility in Metallic Glasses

Sungwoo Sohn, Naijia Liu, Geun Hee Yoo +8

The understanding and quantification of ductility in crystalline metals, which has led to their widespread and effective usage as a structural material, is lacking in metallic glas…

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…

math.AP2019★ 4 cited

Characterizations of the Hardy space $H_{F I O}^{1} (R^{n})$ for Fourier integral operators

Zhijie Fan, Naijia Liu, Jan Rozendaal +1

The Hardy spaces for Fourier integral operators $H_{F I O}^{p} (R^{n})$ , for $1 \leq p \leq \infty$ , were introduced by Smith in [Smith,1998] and Hassell et al. in [H…

A Framework for Ductility in Metallic Glasses

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

Characterizations of the Hardy space HFIO1​(Rn) for Fourier integral operators

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

Characterizations of the Hardy space $H_{F I O}^{1} (R^{n})$ for Fourier integral operators