Jingwei Guo

activity

20102023

most citedOn lattice points in large convex bodies

2 citations · 3 across the 3 of their papers we have counts for

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math.CA2023

$L^{p}$ boundedness of pseudo-differential operators with symbols in $S_{ρ, 1}^{n (ρ - 1) /2}$

Jingwei Guo, Xiangrong Zhu

For symbol $a \in S_{ρ, 1}^{n (ρ - 1) /2}$ the pseudo-differential operator $T_{a}$ may not be $L^{2}$ bounded. However, under some mild extra assumptions on $a$ , we show that $T_{a}$ is bound…

math.CA2014★ 1 cited

Bilinear Hilbert transforms associated to plane curves

Jingwei Guo, Lechao Xiao

We prove that the bilinear Hilbert transforms and maximal functions along certain general plane curves are bounded from $L^{2} (R) \times L^{2} (R)$ to $L^{1} (R)$ …

Lp boundedness of pseudo-differential operators with symbols in Sρ,1n(ρ−1)/2​

Bilinear Hilbert transforms associated to plane curves

$L^{p}$ boundedness of pseudo-differential operators with symbols in $S_{ρ, 1}^{n (ρ - 1) /2}$