Danqing He

collaborators

2 papers

math.CA2026

A Roth theorem in $R^{2}$ and a related ergodic theorem

Danqing He, Xinyu Zhu

We prove a quantitative Roth theorem in the plane for the two-dimensional polynomial pattern $(x_{1}, x_{2}), (x_{1}, x_{2}) + (t_{1}, t_{2}), (x_{1}, x_{2}) + (t_{1}^{2} + t_{2}^{2}, t_{1}^{3} + t_{2}^{3})$ . A pointwise conv…

math.CA2024

On pointwise convergence of multilinear Bochner-Riesz means

Danqing He, Kangwei Li, Jiqiang Zheng

We improve the range of indices when the multilinear Bochner-Riesz means converges pointwisely. We obtain this result by establishing the $L^{p}$ estimates and weighted estimates of…

A Roth theorem in R2 and a related ergodic theorem

On pointwise convergence of multilinear Bochner-Riesz means

A Roth theorem in $R^{2}$ and a related ergodic theorem