A NOTE ON C1,α-SMOOTH APPROXIMATION OF LIPSCHITZ FUNCTIONS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10492743" target="_blank" >RIV/00216208:11320/24:10492743 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=4qcZ-dCNp5" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=4qcZ-dCNp5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/proc/16789" target="_blank" >10.1090/proc/16789</a>

Result language
angličtina
Original language name
A NOTE ON C1,α-SMOOTH APPROXIMATION OF LIPSCHITZ FUNCTIONS
Original language description
We show that on super -reflexive spaces a Moreau-Yosida type of regularisation by infimal convolution together with a known insertion -type theorem (a variant of Ilmanen's lemma) easily give an approximation of a Lipschitz function by a C1,alpha-smooth Lipschitz function with the same Lipschitz constant. This is a generalisation of the well-known theorem of J. -M. Lasry and P. -L. Lions from Hilbert spaces. It also gives a new self-contained and probably simpler proof of the Lasry-Lions theorem.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)