Jaehyeon Ryu

activity

20202026

most citedEffects of Crystalline Disorder on Interfacial and Magnetic Properties of Sputtered Topological Insulator/Ferromagnet Heterostructures

8 citations · 14 across the 12 of their papers we have counts for

collaborators

12 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.AP2024

Semiclassical $L^{p}$ quasimode restriction estimates in two dimensions

Sewook Oh, Jaehyeon Ryu

We establish the $L^{p}$ restriction estimates for quasimodes on a smooth curve in two dimensions. Our estimates are sharp for all smooth curves. As an application, we address $L^{p}$ …

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

On almost everywhere convergence of Bochner--Riesz means below the critical index

Jaehyeon Ryu

In this paper, we study the almost everywhere convergence problem for the Bochner--Riesz means $S_{t}^{δ} f$ for $f \in L^{p} (R^{d})$ in the subcritical range \[ 0\le δ< δ(d,p):=d\Bi…

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…

cond-mat.mtrl-sci2022★ 8 cited

Effects of Crystalline Disorder on Interfacial and Magnetic Properties of Sputtered Topological Insulator/Ferromagnet Heterostructures

Nirjhar Bhattacharjee, Krishnamurthy Mahalingam, Adrian Fedorko +7

Thin films of Topological insulators (TIs) coupled with ferromagnets (FMs) are excellent candidates for energy-efficient spintronics devices. Here, the effect of crystalline struct…

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…

math.AP2021★ 1 cited

Unique continuation for the heat operator with potentials in weak spaces

Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu

We prove strong unique continuation property for the differential inequality $∣ (\partial_{t} + Δ) u (x, t) ∣ \leq V (x, t) ∣ u (x, t) ∣$ with $V$ contained in weak spaces. In particular, we establ…

math.CA2021

Bochner-Riesz means for the Hermite and special Hermite expansions

Sanghyuk Lee, Jaehyeon Ryu

We consider the Bochner-Riesz means for the Hermite and special Hermite expansions and study their $L^{p}$ boundedness with the sharp summability index in a local setting. In two dim…

math.CA2020★ 1 cited

Sharp $L^{p}$ - $L^{q}$ estimate for the spectral projection associated with the twisted Laplacian

Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu

In this note we are concerned with estimates for the spectral projection operator $P_{μ}$ associated with the twisted Laplacian $L$ . We completely characterize the optimal…

math.CA2020★ 2 cited

Hermite spectral projection operator

Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu

We study $L^{p}$ - $L^{q}$ estimate for the spectral projection operator $Π_{λ}$ associated to the Hermite operator $H = ∣ x ∣^{2} - Δ$ in $R^{d}$ . Here $Π_{λ}$ denotes the projection to the s…

The Endpoint Eigenfunction Bound for the Hermite Operator in Two Dimensions

Semiclassical Lp quasimode restriction estimates in two dimensions

Bochner-Riesz mean for the twisted Laplacian in R2

On almost everywhere convergence of Bochner--Riesz means below the critical index

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

Bounds on the Hermite spectral projection operator

Effects of Crystalline Disorder on Interfacial and Magnetic Properties of Sputtered Topological Insulator/Ferromagnet Heterostructures

Endpoint eigenfunction bounds for the Hermite operator

Unique continuation for the heat operator with potentials in weak spaces

Bochner-Riesz means for the Hermite and special Hermite expansions

Sharp Lp-Lq estimate for the spectral projection associated with the twisted Laplacian

Hermite spectral projection operator

Semiclassical $L^{p}$ quasimode restriction estimates in two dimensions

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

Sharp $L^{p}$ - $L^{q}$ estimate for the spectral projection associated with the twisted Laplacian