Eunhee Jeong

activity

20152026

most citedMaximal estimates for the bilinear spherical averages and the bilinear Bochner-Riesz operators

6 citations · 16 across the 14 of their papers we have counts for

collaborators

14 papers

math.CA2026

The Endpoint Eigenfunction Bound for the Hermite Operator in Two Dimensions

Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu

In this paper, we establish the optimal $L^2(\mathbb{R}^2)\to L^{10/3}(\mathbb{R}^2)$ endpoint estimate for the spectral projection operator associated with the Hermite operator…

math.CA2023

Bochner-Riesz mean for the twisted Laplacian in $R^{2}$

Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu

We study the Bochner-Riesz problem for the twisted Laplacian $L$ on $R^{2}$ . For $p \in [1, \infty] ∖ {2}$ , it has been conjectured that the Bochner-Riesz mea…

math.CA2023★ 1 cited

Almost everywhere convergence of Bochner--Riesz means for the twisted Laplacian

Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu

Let $L$ denote the twisted Laplacian in $C^{d}$ . We study almost everywhere convergence of the Bochner--Riesz mean $S_{t}^{δ} (L) f$ of $f \in L^{p} (C^{d})$ …

math.CA2022

Bounds on the Hermite spectral projection operator

Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu

We study $L^{p}$ - $L^{q}$ bounds on the spectral projection operator $Π_{λ}$ associated to the Hermite operator $H = ∣ x ∣^{2} - Δ$ in $R^{d}$ . We are mainly concerned with a localized oper…

math.AP2022

Carleman inequalities and unique continuation for the polyharmonic operators

Eunhee Jeong, Yehyun Kwon, Sanghyuk Lee

We obtain a complete characterization of $L^{p} - L^{q}$ Carleman estimates with weight $e^{v \cdot x}$ for the polyharmonic operators. Our result extends the Carleman inequalities for th…

math.CA2022★ 1 cited

Endpoint eigenfunction bounds for the Hermite operator

Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu

We establish the optimal $L^{p}$ , $p = 2 (d + 3) / (d + 1),$ eigenfunction bound for the Hermite operator $H = - Δ + ∣ x ∣^{2}$ on $R^{d}$ . Let $Π_{λ}$ denote the projection operator to t…

The Endpoint Eigenfunction Bound for the Hermite Operator in Two Dimensions

Bochner-Riesz mean for the twisted Laplacian in R2

Almost everywhere convergence of Bochner--Riesz means for the twisted Laplacian

Bounds on the Hermite spectral projection operator

Carleman inequalities and unique continuation for the polyharmonic operators

Endpoint eigenfunction bounds for the Hermite operator

Bochner-Riesz mean for the twisted Laplacian in $R^{2}$