%0 Journal Article
%T On Extension of Isometries Between Unit Spheres in ALp-spaces (1<br>ALp -空间的单位球面上Lipschitz映射的等距延拓
%A GAO Jin-Mei
%A TAN Dong-Ni
%A <br>高金梅
%A 谭冬妮
%J 数学物理学报(A辑)
%D 2012
%I 
%X In this paper, we discuss the 1-Lipschitz mappings between the unit spheres in vector valued spaces Lp(Ω, ∑, μ; Lq(X, A, ν)) (2≤q<p<∞) and anti-1-Lipschitz mappings between the unit spheres in  vector valued spaces Lp (Ω, ∑, μ; Lq(X, A, ν))(1<p<≤2), and obtain that every such mapping can be extended to be a real linear isometry on the whole space Lp(Ω, ∑, μ; Lq(X, A, ν)).
%K 等距延拓
%K 1-Lipschitz
%K 映射
%K 严格凸赋范空间
%K Bochner
%K 积分
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=46DBF3E8FC2736F06C365D04DE3653F4&yid=99E9153A83D4CB11&vid=9971A5E270697F23&iid=0B39A22176CE99FB&sid=117BC32987199759&eid=0BD4FAD4A90498AB&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=0