UNIGE document Scientific Article
previous document  unige:12146  next document
add to browser collection
Title

Differentiable extensions of functions

Authors
Published in Differential Geometry and Its Applications. 1993, vol. 3, no. 1, p. 71 - 90
Abstract Those functions on arbitrary subsets of Image, which admit smooth extensions to Image, as well as those, which admit k-times differentiable extension having locally Lipschitzian derivatives, are characterized in terms of a simple boundedness condition on the difference quotients. In case of finite order differentiability also a continuous linear extension operator is constructed for the corresponding function spaces even for vector valued functions.
Keywords Extension of functionsconvenient vector spacesLipschitz conditiondifference quotientsinterpolation
Identifiers
Full text
Structures
Citation
(ISO format)
FROLICHER, Alfred, KRIEGL, Andréas. Differentiable extensions of functions. In: Differential Geometry and Its Applications, 1993, vol. 3, n° 1, p. 71 - 90. https://archive-ouverte.unige.ch/unige:12146

179 hits

0 download

Update

Deposited on : 2010-10-19

Export document
Format :
Citation style :