扬州大学学报（自然科学版）
颺州大學學報（自然科學版）
양주대학학보（자연과학판）
JOURNAL OF YANGZHOU UNIVERSITY(NATURAL SCIENCE EDITION)
2009年
3期
9-12
,共4页
凸性%华罗庚域%Kobayashi度量%Carathéodory度量
凸性%華囉庚域%Kobayashi度量%Carathéodory度量
철성%화라경역%Kobayashi도량%Carathéodory도량
convexity%Hua domain%Kobayashi metrics%Caratheodory metrics
研究了第三类华罗庚域的凸性,得到此域为凸域的充分必要条件,并将其推广到第三类广义华罗庚域上.作为应用,计算了第三类华罗庚域HEⅢ(N_1,…,N_r,;7;4,…,4)上的Carathéodory度量和Kobayashi度量.
研究瞭第三類華囉庚域的凸性,得到此域為凸域的充分必要條件,併將其推廣到第三類廣義華囉庚域上.作為應用,計算瞭第三類華囉庚域HEⅢ(N_1,…,N_r,;7;4,…,4)上的Carathéodory度量和Kobayashi度量.
연구료제삼류화라경역적철성,득도차역위철역적충분필요조건,병장기추엄도제삼류엄의화라경역상.작위응용,계산료제삼류화라경역HEⅢ(N_1,…,N_r,;7;4,…,4)상적Carathéodory도량화Kobayashi도량.
In this paper, the problem of the convexity on the Hua domains of the third type is discussed, and the sufficient and necessary conditions for the domain to be convex domains are obtained. The result is popularized to generalized Hua domains of the third type. As an application, the Caratheodory metric and Kobayashi metric of the third type Hua domain HE_Ⅲ (N_1,…, N_r; 7; 4,…,4) are calculated.
