论文标题
关于映射的离散边界扩展
On discrete boundary extension of mappings in terms of prime ends
论文作者
论文摘要
我们研究了满足欧几里得空间域中逆Poletsky不平等的映射。在定义和映射域的某些条件下，如果涉及Poletsky不平等的主要物质是可以整合在球体上，则它们在质量末端的边界有连续的扩展。在某些其他条件下，上述扩展名是离散的。
We study mappings that satisfy the inverse Poletsky inequality in a domain of the Euclidean space. Under certain conditions on the definition and mapped domains, it is established that they have a continuous extension to the boundary in terms of prime ends if the majorant involved in the Poletsky inequality is integrable over spheres. Under some additional conditions, the extension mentioned above is discrete.
