Chenjian Wang

collaborators

3 papers

math.CO2025

Pinned patterns and density theorems in $R^{d}$

Chenjian Wang

For integers $k \geq 3, d \geq 2,$ we consider the abundance property of pinned $k$ -point patterns occurring in $E \subseteq R^{d}$ with positive upper density $δ (E)$ . We show th…

math.CA2025

A note on maximal operators for moment curves

Chenjian Wang

We consider a type of maximal operators associated to moment curves in $R^{d}, d \geq 3.$ We derive $L^{p}$ mapping properties for these operators. In a special case, the estima…

math.CA2025

Pinned distances and density theorems in $R^{d}$

Chenjian Wang

We study a pinned variant of Bourgain's theorem, concerning the occurrence of affine copies of $k$ -point patterns in $R^{d}$ . Focusing on the case $k = 2$ , which corresponds t…

Pinned patterns and density theorems in Rd

A note on maximal operators for moment curves

Pinned distances and density theorems in Rd

Pinned patterns and density theorems in $R^{d}$

Pinned distances and density theorems in $R^{d}$