Rui Han

activity

20172022

most citedAnti-resonances and sharp analysis of Maryland localization for all parameters

3 citations · 4 across the 3 of their papers we have counts for

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2 papers · 1 filter

math.CA2020

A Polynomial Roth Theorem for Corners in Finite Fields

Rui Han, Michael T Lacey, Fan Yang

We prove a Roth type theorem for polynomial corners in the finite field setting. Let $ϕ_{1}$ and $ϕ_{2}$ be two polynomials of distinct degree. For sufficiently large primes $p$ , any s…

math.CA2018

Weighted Estimates for One Sided Martingale Transforms

Wei Chen, Rui Han, Michael T. Lacey

Let $T f = \sum_{I} ε_{I} ⟨ f, h_{I^{+}} ⟩ h_{I^{-}}$ . Here, $∣ ε_{I} ∣ = 1$ , and $h_{J}$ is the Haar function defined on dyadic interval $J$ . We sh…