The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces
نویسندگان
چکیده
منابع مشابه
The Whitney Extension Problem and Lipschitz Selections of Set-valued Mappings in Jet-spaces
We study a variant of the Whitney extension problem (1934) for the space Ck,ω(Rn). We identify Ck,ω(Rn) with a space of Lipschitzmappings from Rn into the space Pk × Rn of polynomial fields on Rn equipped with a certain metric. This identification allows us to reformulate the Whitney problem for Ck,ω(Rn) as a Lipschitz selection problem for set-valued mappings into a certain family of subsets o...
متن کاملJa n 20 06 The Whitney extension problem and Lipschitz selections of set - valued mappings in jet - spaces
We study a variant of the Whitney extension problem [21, 22] for the space C k,ω (R n). We identify C k,ω (R n) with a space of Lipschitz mappings from R n into the space P k × R n of polynomial fields on R n equipped with a certain metric. This identification allows us to reformulate the Whitney problem for C k,ω (R n) as a Lip-schitz selection problem for set-valued mappings into a certain fa...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2008
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-08-04469-3