Hardy type inequalities with kernels: The current status and some new results

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00469658" target="_blank" >RIV/67985840:_____/17:00469658 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/mana.201500363" target="_blank" >http://dx.doi.org/10.1002/mana.201500363</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.201500363" target="_blank" >10.1002/mana.201500363</a>

Result language
angličtina
Original language name
Hardy type inequalities with kernels: The current status and some new results
Original language description
We consider the general Hardy type operator Hkf(x) = ...x 0k(x, t)f(t)dt where k(x, t) is a positive and measurable kernel. To characterize the weights u and v so that Hk : Lp(u) ... Lq (v) is still an open problem for any parameters p and q. However, for special cases the solution is known for some parameters p and q. In this paper the current status of this problem is described and discussed mainly for the case 1 ... p ... q ... In particular, some new scales of characterizations in classical situations are described, some new proofs and results are given and open questions are raised.
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
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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