Jaehyeon Ryu

activity

20202026

most citedSharp

L^{p}

L^{q}

estimate for the spectral projection associated with the twisted Laplacian

1 citations · 1 across the 4 of their papers we have counts for

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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.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.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…

The Endpoint Eigenfunction Bound for the Hermite Operator in Two Dimensions

Bounds on the Hermite spectral projection operator

Bochner-Riesz means for the Hermite and special Hermite expansions

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

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