New characterization of weighted inequalities involving superposition of Hardy integral operators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00598216" target="_blank" >RIV/67985840:_____/24:00598216 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/mana.202400007" target="_blank" >https://doi.org/10.1002/mana.202400007</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.202400007" target="_blank" >10.1002/mana.202400007</a>

Result language
angličtina
Original language name
New characterization of weighted inequalities involving superposition of Hardy integral operators
Original language description
Let (Formula presented.) and (Formula presented.). We characterize the validity of the inequality for the composition of the Hardy operator, (Formula presented.) for all non-negative measurable functions (Formula presented.) on (Formula presented.), (Formula presented.). We construct a more straightforward discretization method than those previously presented in the literature, and we provide some new scales of weight characterizations of this inequality in both discrete and continuous forms and we obtain previous characterizations as the special case of the parameter.
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/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
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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