Sanghyuk Lee

activity

20072023

most citedImproved bounds for Stein's square functions

26 citations · 274 across the 59 of their papers we have counts for

collaborators

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31 papers · 1 filter

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

Bilinear maximal functions associated with degenerate surfaces

Sanghyuk Lee, Kalachand Shuin

We study $L^{p} \times L^{q} \to L^{r}$ -boundedness of (sub)bilinear maximal functions associated with degenerate hypersurfaces. First, we obtain the maximal bound on the sha…

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.CA2022

Remarks on dimension of unions of curves

Seheon Ham, Hyerim Ko, Sanghyuk Lee +1

We study an analogue of Marstrand's circle packing problem for curves in higher dimensions. We consider collections of curves which are generated by translation and dilation of a c…

math.CA2022

Pointwise convergence of sequential Schrödinger means

Chu-Hee Cho, Hyerim Ko, Youngwoo Koh +1

We study pointwise convergence of the fractional Schrödinger means along sequences $t_{n}$ which converge to zero. Our main result is that bounds on the maximal function $\sup_{n} |e…

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…