Jiye Yuan

activity

20192024

most citedMaximal estimates for the Weyl sums on

T^{d}

(with an appendix by Alex Barron)

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.NT2024

$L^{p}$ maximal estimates for Weyl sums with $k \geq 3$ on $T$

Xuezhi Chen, Changxing Miao, Jiye Yuan +1

In this paper, we study the $L^{p}$ maximal estimates for the Weyl sums $\sum_{n = 1}^{N} e^{2 π i (n x + n^{k} t)}$ with higher-order $k \geq 3$ on $T$ , and obtain the positive and ne…

math.AP2022

Maximal estimates for fractional Schrödinger equations in scaling critical magnetic fields

Haoran Wang, Jiye Yuan

In this paper, we combine the argument of [12] and [27] to prove the maximal estimates for fractional Schrödinger equations $(i \partial_{t} + L_{A}^{\frac{α}{2}}) u = 0$ in…

math.NT2022★ 1 cited

Maximal estimates for the Weyl sums on $T^{d}$ (with an appendix by Alex Barron)

Changxing Miao, Jiye Yuan, Tengfei Zhao

In this paper, we obtain the maximal estimate for the Weyl sums on the torus $T^{d}$ with $d \geq 2$ , which is sharp up to the endpoint. We also consider two variants of this…

math.AP2019

On the dimension of divergence sets of Schrödinger equation with complex time

Jiye Yuan, Tengfei Zhao, Jiqiang Zheng

This article studies the pointwise convergence for the fractional Schrödinger operator $P_{a, γ}^{t}$ with complex time in one spatial dimension. Through establishing $L^{2}$ -maximal…

Lp maximal estimates for Weyl sums with k≥3 on T

Maximal estimates for fractional Schrödinger equations in scaling critical magnetic fields

Maximal estimates for the Weyl sums on Td (with an appendix by Alex Barron)

On the dimension of divergence sets of Schrödinger equation with complex time

$L^{p}$ maximal estimates for Weyl sums with $k \geq 3$ on $T$

Maximal estimates for the Weyl sums on $T^{d}$ (with an appendix by Alex Barron)