Chun-Yen Shen

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20232026

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4 papers · 1 filter

math.CA2026

On $L^{2}$ estimates for quadratic images of product Frostman measures

Sung-Yi Liao, Thang Pham, Chun-Yen Shen

Let $f \in R [x, y, z]$ be a fixed non-degenerate quadratic polynomial. Given an $α$ -Frostman probability measure $μ$ supported on $[0, 1]$ with $α \in (0, 1)$ , consider the pushfor…

math.CA2025

Bilinear spherical maximal function with fractal dilations

Surjeet Singh Choudhary, Chun-Yen Shen, Saurabh Shrivastava

In this paper, we investigate the $L^{p} -$ boundedness of the bilinear spherical maximal function associated with a general set of dilations $E \subset R_{+}$ . We quantify the range of $…

math.CA2024

Packing sets in Euclidean space by affine transformations

Alex Iosevich, Pertti Mattila, Eyvindur Palsson +4

For Borel subsets $Θ \subset O (d) \times R^{d}$ (the set of all rigid motions) and $E \subset R^{d}$ , we define \begin{align*} Θ(E):=\bigcup_{(g,z)\in Θ}(gE+z). \end{ali…

math.CA2023

A discretized point-hyperplane incidence bound in $R^{d}$

Thang Pham, Chun-Yen Shen, Nguyen Pham Minh Tri

Let $P$ be a $δ$ -separated $(δ, s, C_{P})$ -set of points in $B (0, 1) \subset R^{d}$ and $Π$ be a $δ$ -separated $(δ, t, C_{Π})$ -set of hyperplanes intersecting $B (0, 1)$ in $\math…

On L2 estimates for quadratic images of product Frostman measures

Bilinear spherical maximal function with fractal dilations

Packing sets in Euclidean space by affine transformations

A discretized point-hyperplane incidence bound in Rd

On $L^{2}$ estimates for quadratic images of product Frostman measures

A discretized point-hyperplane incidence bound in $R^{d}$