论文标题
在欧几里得空间中具有流体动力归一化条件的映射上
On mappings with hydrodynamical normalization conditions in Euclidean space
论文作者
论文摘要
我们正在研究空间映射，以满足无穷大附近流体动力学生长的某些空间类似物。事实证明，在某些条件下，指定班级形式的同等词的同态形态基于其准性的特征。我们还考虑了这些类别与局部均匀收敛的亲密关系。我们为具有积分约束的映射以及相应的反映射类别获得了相应的结果。
We are studying spatial mappings that satisfy some space analog of a hydrodynamical type of growth in the neighborhood of the infinity. It is proved that homeomorphisms of the specified class form equicontinuous families under some conditions on their characteristic of quasiconformality. We have also considered the problem of closeness of these classes with respect to locally uniform convergence. We have obtained corresponding results for mappings with integral constraints, as well as for classes of corresponding inverse mappings.
