关于保形狭缝映射

Kodai Mathematical Seminar Reports Pub Date : 1963-12-01 DOI:10.2996/KMJ/1138844813

Yūsaku Komatu

{"title":"关于保形狭缝映射","authors":"Yūsaku Komatu","doi":"10.2996/KMJ/1138844813","DOIUrl":null,"url":null,"abstract":"Each function w=f(z,t)=e '(z+ ) carries out also a univalent mapping of j^]<l onto a bounded slit domain Bt with a slit Lt. The continuous function κ(t)=e ^ involved in the Lόwner equation shows an interesting behavior if the original slit L=Lt0 is supposed to be analytic. Every slit Lt (0<t<t0) is then also analytic and meets wt\\ = l orthogonally at its endpoint κ(f)=e~~ \\ Let the curvature of Lt at κ(f) be denoted by p(t). The following theorem is known; cf. [3], [9]:","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1963-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On conformal slit mapping\",\"authors\":\"Yūsaku Komatu\",\"doi\":\"10.2996/KMJ/1138844813\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Each function w=f(z,t)=e '(z+ ) carries out also a univalent mapping of j^]<l onto a bounded slit domain Bt with a slit Lt. The continuous function κ(t)=e ^ involved in the Lόwner equation shows an interesting behavior if the original slit L=Lt0 is supposed to be analytic. Every slit Lt (0<t<t0) is then also analytic and meets wt\\\\ = l orthogonally at its endpoint κ(f)=e~~ \\\\ Let the curvature of Lt at κ(f) be denoted by p(t). The following theorem is known; cf. [3], [9]:\",\"PeriodicalId\":318148,\"journal\":{\"name\":\"Kodai Mathematical Seminar Reports\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1963-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kodai Mathematical Seminar Reports\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2996/KMJ/1138844813\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kodai Mathematical Seminar Reports","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2996/KMJ/1138844813","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}