S. Wen

activity

20142019

most citedRemarks on dimensions of Cartesian product sets

16 citations · 20 across the 4 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.CA2015

On thin carpets for doubling measures

Changhao Chen, Shengyou Wen

We study subsets of $R^{d}$ which are thin for doubling measures or isotropic doubling measures. We show that any subset of $R^{d}$ with Hausdorff dimension less than or equal to…

math.MG2015★ 16 cited

Remarks on dimensions of Cartesian product sets

Chun Wei, Shengyou Wen, Zhixiong Wen

Given metric spaces $E$ and $F$ , it is well known that $dim_{H} E + dim_{H} F \leq dim_{H} (E \times F) \leq dim_{H} E + dim_{P} F,$ $dim_{H} E + dim_{P} F \leq dim_{P} (E \times F) \leq dim_{P} E + dim_{P} F,$ an…