Details

Autor(en) / Beteiligte

• Frerick, Leonhard
• Jordá, Enrique
• Wengenroth, Jochen

Titel

Extension operators for smooth functions on compact subsets of the reals

Ist Teil von

• Mathematische Zeitschrift, 2020-08, Vol.295 (3-4), p.1537-1552

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2020

Link zum Volltext

Quelle

SpringerLink (Online service)

Beschreibungen/Notizen

• 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 ∞ ( K ) = { F | K : F ∈ C ∞ ( R ) } to C ∞ ( R ) . This allows us to deal with examples of the form K = { a n : n ∈ N } ∪ { 0 } for a n → 0 previously considered by Fefferman and Ricci as well as Vogt.