Junfeng Li

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

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

collaborators

3 papers

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.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

$L^{p}$ 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^…

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

L2 Boundedness of Hilbert Transforms along Variable Flat Curves

Lp Boundedness of Hilbert Transforms Associated with Variable Plane Curves

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

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