L~(μ)-平均域的几何特征

The geometric characterizations of L~(μ)- averaging domains

首先用Whitney覆盖来刻画L(ψ)(μ)-平均域,然后证明了在K-拟等距映射、Φ-拟等距映射和K-拟共形映射之下,L(ψ)(μ)-平均域的不变性.

The geometric characterizations of L~(μ)-averaging domains are studied by means of the Whitney cover. Then it is proved that L~(μ)-averaging domains are invariant under some mappings, such as k-quasic-isometrics mapping, Φ-quasi-isometrics mapping, etc.