Optimal behavior of weighted Hardy operators on rearrangement-invariant spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F23%3A00372646" target="_blank" >RIV/68407700:21230/23:00372646 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/mana.202200015" target="_blank" >https://doi.org/10.1002/mana.202200015</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.202200015" target="_blank" >10.1002/mana.202200015</a>

Result language
angličtina
Original language name
Optimal behavior of weighted Hardy operators on rearrangement-invariant spaces
Original language description
The behavior of certain weighted Hardy-type operators on rearrangement-invariant function spaces is thoroughly studied. Emphasis is put on the optimality of the obtained results. First, the optimal rearrangement-invariant function spaces guaranteeing the boundedness of the operators from/to a given rearrangement-invariant function space are described. Second, the optimal rearrangement-invariant function norms being sometimes complicated, the question of whether and how they can be simplified to more manageable expressions is addressed. Next, the relation between optimal rearrangement-invariant function spaces and interpolation spaces is investigated. Last, iterated weighted Hardy-type operators are also studied.
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/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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