Weighted inequalities for a superposition of the Copson operator and the Hardy operator

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00555455" target="_blank" >RIV/67985840:_____/22:00555455 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/22:10446722 RIV/68407700:21230/22:00359333
Result on the web
<a href="https://doi.org/10.1007/s00041-022-09918-6" target="_blank" >https://doi.org/10.1007/s00041-022-09918-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00041-022-09918-6" target="_blank" >10.1007/s00041-022-09918-6</a>

Result language
angličtina
Original language name
Weighted inequalities for a superposition of the Copson operator and the Hardy operator
Original language description
We study a three-weight inequality for the superposition of the Hardy operator and the Copson operator in weighted Lebesgue spaces all possible positive real parameters. A simple change of variables can be used to equaivalently turn this inequality into the one in which the Hardy and Copson operators swap their positions. We focus on characterizing those triples of weight functions for which the inequality holds for all nonnegative measurable functions with a constant independent of function. We use a new type of approach based on an innovative method of discretization which enables us to avoid the duality technique.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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