Extension operators for smooth functions on compact subsets of the reals
| العنوان: | Extension operators for smooth functions on compact subsets of the reals |
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| المؤلفون: | Enrique Jorda Mora, Jochen Wengenroth, Leonhard Frerick |
| المصدر: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname |
| بيانات النشر: | Springer-Verlag, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | 47A57, 46E25, 46A63, General Mathematics, Extension operator, Mathematics::Rings and Algebras, 010102 general mathematics, Extension (predicate logic), 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Algebra, 0103 physical sciences, FOS: Mathematics, Spaces of smooth functions, 010307 mathematical physics, 0101 mathematics, MATEMATICA APLICADA, Mathematics |
| الوصف: | 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. 18 pages |
| وصف الملف: | application/pdf |
| اللغة: | English |
| DOI: | 10.1007/s00209-019-02388-5 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d83fb13aae89dbdfbd35f94d09aecdf |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....3d83fb13aae89dbdfbd35f94d09aecdf |
| قاعدة البيانات: | OpenAIRE |
| DOI: | 10.1007/s00209-019-02388-5 |
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