A joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10127169" target="_blank" >RIV/00216208:11320/12:10127169 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.jmaa.2011.10.049" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2011.10.049</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmaa.2011.10.049" target="_blank" >10.1016/j.jmaa.2011.10.049</a>

Result language

angličtina

Original language name

A joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem

Original language 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 "thick" subsets of R-n are also proved.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Mathematical Analysis and Applications

ISSN

0022-247X

e-ISSN

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Volume of the periodical

388

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

13

Pages from-to

1027-1039

UT code for WoS article

000299127900031

EID of the result in the Scopus database

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