Author

Jin-Bong Lee

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Preprint Oct 2026

The strong $\ell^r$ spherical maximal function

Let $d\ge3$ and $2\le r<\infty$. We consider the strong maximal operator associated with Euclidean surface averages over the $\ell^r$ unit sphere and independent coordinate dilations. We prove that this operator is bounded on $L^p(\mathbb R^d)$ if and only if \[ p>\max\left\{\frac{d+1}{d-1},\frac{r}{d-1}\right\}. \] We...

Jin-Bong Lee, Sanghyuk Lee, Jeongtae Oh · 0 citations

Preprint Aug 2026

Sharp $L^2$ Estimates for $(2+1)$-dimensional oscillatory integral operators with homogeneous binomial phases

We study oscillatory integral operators in $(2+1)$-dimensions with a homogeneous binomial phase \[ \Phi(x,y,t)=x^{k-k_P}t^{k_P}+y^{k-k_Q}t^{k_Q}, \qquad 1\le k_P<k_Q<k. \] For compactly supported smooth amplitudes, we establish sharp $L^2(\R)\to L^2(\R^2)$ estimates with logarithmic losses occurring only in certain c...

Chu-Hee Cho, Jin-Bong Lee, Woo-Yang Chan · 0 citations