2 papers
math.CA2026
Riesz capacity ratios with negative exponents
Qiuling Fan
We investigate sharp inequalities for ratios of Riesz capacities with negative exponents by combining computational experiments with rigorous analysis. For finite subsets of the li…
math.CA2024
Hausdorff measure and decay rate of Riesz capacity
Qiuling Fan, Richard S. Laugesen
The decay rate of Riesz capacity as the exponent increases to the dimension of the set is shown to yield Hausdorff measure. The result applies to strongly rectifiable sets, and so…