Detailed proof of classical Gagliardo--Nirenberg interpolation inequality with historical remarks

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12510%2F21%3A43901398" target="_blank" >RIV/60076658:12510/21:43901398 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21240/21:00350427
Result on the web
<a href="https://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=40&iss=2&rank=6" target="_blank" >https://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=40&iss=2&rank=6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/ZAA/1681" target="_blank" >10.4171/ZAA/1681</a>

Result language
angličtina
Original language name
Detailed proof of classical Gagliardo--Nirenberg interpolation inequality with historical remarks
Original language description
A carefully written Nirenberg's proof of the well known Gagliardo-Nirenberg interpolation inequality for intermediate derivatives in Rn seems, surprisingly, to be missing in literature. In our paper we shall first introduce this fundamental result and provide information about it's historical background. Afterwards we present a complete, student-friendly proof. In our proof we use the architecture of Nirenberg's proof, the proof is, however, much more detailed, containing also some differences. The reader can find a short comparison of differences and similarities in the final chapter.
Czech name
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Czech description
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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
<a href="/en/project/GJ18-00960Y" target="_blank" >GJ18-00960Y: Selected topics in non-linear functional analysis and approximation theory</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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