Bo-Cheng Liu

activity

20132026

most citedMicrolocal decoupling inequalities and the distance problem on Riemannian manifolds

9 citations · 40 across the 13 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.CA2017★ 6 cited

Pinned distance problem, slicing measures and local smoothing estimates

Alex Iosevich, Bochen Liu

We improve the Peres-Schlag result on pinned distances in sets of a given Hausdorff dimension. In particular, for Euclidean distances, with $Δ^{y} (E) = {∣ x - y ∣ : x \in E},$ we prove…

math.CA2017★ 1 cited

Group actions, the Mattila integral and applications

Bochen Liu

The Mattila integral, $M (μ) = \int (\int_{S^{d - 1}} ∣ μ (r ω) ∣^{2} d ω)^{2} r^{d - 1} d r,$ developed by Mattila, is the main tool in the study of the Falc…