论文标题
进一步研究域和准纤维距离
Further Study on Domains and Quasihyperbolic Distances
论文作者
论文摘要
我们建立了建设性的几何工具，用于确定域何时为$ l^s $平衡，并获得quasihyperbolic距离的$ l^s $ integrals的上限和下限。我们还构建了示例，这些示例有助于了解我们的几何工具以及$ p $ - poincaré域与$ l^s $ - $ - 平均域之间的关系。最后，探索了$ l^s（μ）$的有限工会。
We establish constructive geometric tools for determining when a domain is $L^s$-averaging and obtain upper and lower bounds for the $L^s$-integrals of the quasihyperbolic distance. We also construct examples which are helpful to understand our geometric tools and the relationship between $p$-Poincaré domains and $L^s$-averaging domains. Finally, finite unions of $L^s(μ)$-averaging domains are explored.
