Weighted inequalities for sub-monotone functionals

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00639975" target="_blank" >RIV/67985840:_____/25:00639975 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/25:10512285
Result on the web
<a href="http://10.1007/s13163-025-00521-z" target="_blank" >http://10.1007/s13163-025-00521-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13163-025-00521-z" target="_blank" >10.1007/s13163-025-00521-z</a>

Result language
angličtina
Original language name
Weighted inequalities for sub-monotone functionals
Original language description
We establish a set of relations between several quite diverse types of weighted inequalities involving various integral operators and fairly general quasinorm-like functionals which we call sub-monotone. The main result enables one to solve a specific problem by transferring it to another one for which a solution is known. The main result is formulated in a rather surprising generality, involving previously unknown cases, and it works even for some nonlinear operators such as the geometric or harmonic mean operators. Proofs use only elementary means.
Czech name
—
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/GA23-04720S" target="_blank" >GA23-04720S: Fine properties of functions, operators and function spaces</a><br>
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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