3 citations · 4 across the 6 of their papers we have counts for
10 papers · 1 filter
Mixed-norm of orthogonal projections and analytic interpolation on dimensions of measures
Bochen Liu
Suppose are compactly supported Radon measures on and is an -dimensional subspace. In this paper we systematically study the mixed-norm $$\in…
Intersection between pencils of tubes, discretized sum-product, and radial projections
Bochen Liu, Chun-Yen Shen
In this paper we prove the following results in the plane. They are related to each other, while each of them has its own interest. First we obtain an -increment on intersecti…
Fourier frames for surface-carried measures
Alex Iosevich, Chun-Kit Lai, Bochen Liu +1
In this paper we show that the surface measure on the boundary of a convex body of everywhere positive Gaussian curvature does not admit a Fourier frame. This answers a question pr…
On Hausdorff dimension of radial projections
Bochen Liu
For any , , denote as the radial projection Given a Borel set $E\sub…
Spectrality of polytopes and equidecomposability by translations
Nir Lev, Bochen Liu
Let be a polytope in (not necessarily convex or connected). We say that is spectral if the space has an orthogonal basis consisting of exponential f…
Hausdorff dimension of pinned distance sets and the -method
Bochen Liu
We prove that for any , , there exists such that the Hausdorff dimension of the pinned distance set $$Δ_x(E)=\{|x-y|: y \in E\…