AI 中文总结
研究具有\(n\)个两两不相交圆形孔的圆盘的量子类似物，建立相关谱常数的一致上界及渐近界，推广了对量子环域的估计。
AI 中文摘要
我们考虑具有\(n\)个两两不相交圆形孔的圆盘的量子类似物。我们建立了与孔的几何形状无关的相关谱常数的一致上界，以及当孔充分分离时更精确的渐近界。后者推广了Crouzeix和Pascoe对量子环域的最新估计。
英文摘要
We consider the quantum analogue of a disk with $n$ pairwise disjoint circular holes. We establish a uniform upper bound for the associated spectral constant that is independent of the geometry of the holes, together with a sharper asymptotic bound when the holes are well-separated. The latter generalizes recent estimates for the quantum annulus due to Crouzeix and Pascoe.
