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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F12%3A10127169%21RIV13-MSM-11320___
rdf:type
n15:Vysledek skos:Concept
rdfs:seeAlso
http://dx.doi.org/10.1016/j.jmaa.2011.10.049
dcterms:description
We prove a joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem. It can be roughly described as a theorem on extendibility of a differentiable function defined on a closed subset of R-n to a differentiable function on R-n with preserving the continuity of the derivative. Other results on C-1 and differentiable extensions from %22thick%22 subsets of R-n are also proved. We prove a joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem. It can be roughly described as a theorem on extendibility of a differentiable function defined on a closed subset of R-n to a differentiable function on R-n with preserving the continuity of the derivative. Other results on C-1 and differentiable extensions from %22thick%22 subsets of R-n are also proved.
dcterms:title
A joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem A joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem
skos:prefLabel
A joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem A joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem
skos:notation
RIV/00216208:11320/12:10127169!RIV13-MSM-11320___
n15:predkladatel
n18:orjk%3A11320
n3:aktivita
n7:I
n3:aktivity
I
n3:cisloPeriodika
2
n3:dodaniDat
n8:2013
n3:domaciTvurceVysledku
n9:1664719 n9:7357362
n3:druhVysledku
n20:J
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
120261
n3:idVysledku
RIV/00216208:11320/12:10127169
n3:jazykVysledku
n10:eng
n3:klicovaSlova
Contingent cone; Strict differentiability; Whitney's extension theorem; Extensions; Differentiable functions of several variables
n3:klicoveSlovo
n6:Strict%20differentiability n6:Differentiable%20functions%20of%20several%20variables n6:Extensions n6:Whitney%27s%20extension%20theorem n6:Contingent%20cone
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[AE20C212BE14]
n3:nazevZdroje
Journal of Mathematical Analysis and Applications
n3:obor
n19:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n8:2012
n3:svazekPeriodika
388
n3:tvurceVysledku
Koc, Martin Zajíček, Luděk
n3:wos
000299127900031
s:issn
0022-247X
s:numberOfPages
13
n14:doi
10.1016/j.jmaa.2011.10.049
n12:organizacniJednotka
11320