Extension operators for smooth functions on compact subsets of the reals

Autor:	Frerick, Leonhard, Jorda, Enrique, Wengenroth, Jochen
Rok vydání:	2016
Předmět:	Mathematics - Functional Analysis 47A57 46E25 46A63
Druh dokumentu:	Working Paper
Popis:	We introduce sufficient as well as necessary conditions for a compact set $K$ such that there is a continuous linear extension operator from the space of restrictions $C^\infty(K)=\lbrace F|_K: F\in C^\infty(\mathbb R)\rbrace$ to $C^\infty(\mathbb R)$. This allows us to deal with examples of the form $K=\lbrace a_n:n\in\mathbb N\rbrace \cup \lbrace 0\rbrace$ for $a_n\to 0$ previously considered by Fefferman and Ricci as well as Vogt. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1611.06808 Zobrazit plný text záznamu View this record from Arxiv