Rodin B, Warschawski S E
Department of Mathematics, University of California, San Diego, La Jolla, California 92093.
Proc Natl Acad Sci U S A. 1978 May;75(5):2082-3. doi: 10.1073/pnas.75.5.2082.
Many parts of the subject of the boundary behavior of conformal mappings can be subsumed under the general heading of asymptotic representations of the Riemann mapping function near a boundary point. Asymptotic representations have, up to now, required that the boundary of the domain satisfy various types of regularity conditions. The results announced here give a method for obtaining asymptotic representations when the domain fails to satisfy such regularity conditions.
共形映射的边界行为这一主题的许多部分都可以归入黎曼映射函数在边界点附近的渐近表示这一总标题之下。到目前为止，渐近表示要求区域的边界满足各种类型的正则性条件。这里公布的结果给出了一种在区域不满足此类正则性条件时获得渐近表示的方法。
