Author

Changkeun Oh

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Preprint Oct 2026

Sharp helical maximal estimates in all dimensions

We establish sharp $L^p$ maximal estimates for averages over smooth nondegenerate curves in $\mathbb R^n$ for $p>n$. More precisely, we show that for any nondegenerate curve $\gamma$ in $\mathbb R^n$ and the associated maximal operator \begin{equation} M f(x):=\sup_{t>0} \Big|\int_{-1}^1f(x-t\gamma(s))\chi(s)\,\mathrm{...

Sheng-Wen Gan, Changkeun Oh, Jaehoon Shin · 0 citations

Preprint Aug 2026

Positive measure for restricted projections along smooth non-degenerate curves

Let $1\leq m<n$, and let $\gamma:[0,1]\to\mathbb R^n$ be a smooth non-degenerate curve. For $\theta\in[0,1]$, set \[ V_\theta := \operatorname{span} \{\gamma'(\theta),\ldots,\gamma^{(m)}(\theta)\}, \] and let $\pi_\theta$ denote the orthogonal projection onto $V_\theta$. We prove that if $E\subset\mathbb R^n$ is a Bore...

Seong-Wook Jeon, Changkeun Oh · 0 citations