Gagliardo–Nirenberg inequality via a new pointwise estimate

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F25%3A00013599" target="_blank" >RIV/46747885:24510/25:00013599 - isvavai.cz</a>
Alternative codes found
RIV/60076658:12410/25:43910133
Result on the web
<a href="https://doi.org/10.1016/j.jfa.2025.110996" target="_blank" >https://doi.org/10.1016/j.jfa.2025.110996</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2025.110996" target="_blank" >10.1016/j.jfa.2025.110996</a>

Result language
angličtina
Original language name
Gagliardo–Nirenberg inequality via a new pointwise estimate
Original language description
We prove a new type of pointwise estimate of the Kałamajska–Mazya–Shaposhnikova type, where sparse averaging operators replace the maximal operator. It allows us to extend the Gagliardo–Nirenberg interpolation inequality to all rearrangement invariant Banach function spaces without any assumptions on their upper Boyd index, i.e. omitting problems caused by unboundedness of maximal operator on spaces close to . In particular, we remove unnecessary assumptions from the Gagliardo–Nirenberg inequality in the setting of Orlicz and Lorentz spaces. The applied method is new in this context and may be seen as a kind of sparse domination technique fitted to the context of rearrangement invariant Banach function spaces.
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
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OECD FORD branch
10101 - Pure mathematics

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

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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