SOME RELATIONS BETWEEN FUNCTION SPACES ON R$^n$
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1995, v.2 no.1, pp.31-34
Shin, Seung-Hyun
(Dept. of Mathematics Graduate School of Dankook Univ.)
Shin, Seung-Hyun.
(1995). SOME RELATIONS BETWEEN FUNCTION SPACES ON R<TEX>$^n$</TEX>, 2(1), 31-34.
Abstract
Let R$^n$be n-th Euclidean space. Let be the n-th spere embeded as a subspace in R$\^$n+1/ centered at the origin. In this paper, we are going to consider the function space F = {f│f : S$^n$\longrightarrow S$^n$} metrized by as follow D(f,g)=d(f($\chi$), g($\chi$)) where f, g $\in$ F and d is the metric in S$^n$. Finally we want to find certain relation these spaces.(omitted)