Junfeng Li

activity

20182025

most citedBilinear Hilbert Transforms and (Sub)Bilinear Maximal Functions along Convex Curves

2 citations · 5 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2025

Mixed norm estimates for dilated averages over planar curves

Junfeng Li, Zengjian Lou, Haixia Yu

In this paper, we investigate the mixed norm estimates for the operator $T$ associated with a dilated plane curve $(u t, u γ (t))$ , defined by \[ Tf(x, u) := \int_{0}^{1} f(x_1 - ut,…

math.CA2024★ 1 cited

The Boundedness of the Bilinear Fractional Integrals along Curves

Junfeng Li, Haixia Yu, Minqun Zhao

In this paper, for general curves $(t, γ (t))$ satisfying some suitable curvature conditions, we obtain some $L^{p} (R) \times L^{q} (R) \to L^{r} (R)$ estim…

math.CA2024

$L_{x}^{p} \to L_{x, u}^{q}$ estimates for dilated averages over planar curves

Junfeng Li, Naijia Liu, Zengjian Lou +1

In this paper, we consider the $L_{x}^{p} (R^{2}) \to L_{x, u}^{q} (R^{2} \times [1, 2])$ estimate for the operator $T$ along a dilated plane curve $(u t, u γ (t))$ , where $$…

math.CA2020★ 2 cited

Bilinear Hilbert Transforms and (Sub)Bilinear Maximal Functions along Convex Curves

Junfeng Li, Haixia Yu

In this paper, we determine the $L^{p} (R) \times L^{q} (R) \to L^{r} (R)$ boundedness of the bilinear Hilbert transform $H_{γ} (f, g)$ along a convex curve $γ$ …

math.FA2020★ 1 cited

Non-homogeneous initial boundary value problems for the biharmonic Schrödinger equation on an interval

Junfeng Li, Chuang Zheng

In this paper we consider the initial boundary value problem (IBVP) for the nonlinear biharmonic Schrödinger equation posed on a bounded interval $(0, L)$ with non-homogeneous Navie…

math.CA2018

$L^{2}$ Boundedness of Hilbert Transforms along Variable Flat Curves

Junfeng Li, Haixia Yu

In this paper, the $L^{2}$ boundedness of the Hilbert transform along variable flat curve $(t, P (x_{1}) γ (t))$ $$H_{P,γ}f(x_1,x_2):=\mathrm{p.\,v.}\int_{-\infty}^{\infty}f(x_1-t,x_2-P(x_…

math.CA2018★ 1 cited

$L^{p}$ Boundedness of Hilbert Transforms Associated with Variable Plane Curves

Haixia Yu, Junfeng Li

Let $p \in (1, \infty)$ . In this paper, for any given measurable function $u : R \to R$ and a generalized plane curve $γ$ satisfying some conditions, the $L^…