Bochen Liu

activity

20122022

most citedAn

L^{2}

-identity and pinned distance problem

17 citations · 47 across the 12 of their papers we have counts for

collaborators

13 papers

math.CA2022

Mixed-norm of orthogonal projections and analytic interpolation on dimensions of measures

Bochen Liu

Suppose $μ, ν$ are compactly supported Radon measures on $R^{d}$ and $V \in G (d, n)$ is an $n$ -dimensional subspace. In this paper we systematically study the mixed-norm $$\in…

math.FA2020

Spectral properties of some unions of linear spaces

Chun-Kit Lai, Bochen Liu, Hal Prince

We consider \textit{additive spaces}, consisting of two intervals of unit length or two general probability measures on $R^{1}$ , positioned on the axes in $R^{2}$ ,…

math.CA2020★ 3 cited

Intersection between pencils of tubes, discretized sum-product, and radial projections

Bochen Liu, Chun-Yen Shen

In this paper we prove the following results in the plane. They are related to each other, while each of them has its own interest. First we obtain an $ε_{0}$ -increment on intersecti…

math.CA2019

Fourier frames for surface-carried measures

Alex Iosevich, Chun-Kit Lai, Bochen Liu +1

In this paper we show that the surface measure on the boundary of a convex body of everywhere positive Gaussian curvature does not admit a Fourier frame. This answers a question pr…

math.CA2019★ 1 cited

On Hausdorff dimension of radial projections

Bochen Liu

For any $x \in R^{d}$ , $d \geq 2$ , denote $π^{x} : R^{d} \ {x} \to S^{d - 1}$ as the radial projection $π^{x} (y) = \frac{y - x}{∣ y - x ∣} .$ Given a Borel set $E\sub…

math.CA2019★ 4 cited

Spectrality of polytopes and equidecomposability by translations

Nir Lev, Bochen Liu

Let $A$ be a polytope in $R^{d}$ (not necessarily convex or connected). We say that $A$ is spectral if the space $L^{2} (A)$ has an orthogonal basis consisting of exponential f…