JOINT WEAK TYPE INTERPOLATION ON LORENTZ-KARAMATA SPACES

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10378067" target="_blank" >RIV/00216208:11320/18:10378067 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.7153/mia-2018-21-28" target="_blank" >https://doi.org/10.7153/mia-2018-21-28</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.7153/mia-2018-21-28" target="_blank" >10.7153/mia-2018-21-28</a>

Result language
angličtina
Original language name
JOINT WEAK TYPE INTERPOLATION ON LORENTZ-KARAMATA SPACES
Original language description
We present sharp interpolation theorems, including all limiting cases, for a class of quasilinear operators of joint weak type acting between Lorentz-Karamata spaces over sigma-finite measure. This class contains many of the important integral operators. The optimality in the scale of Lorentz-Karamata spaces is also discussed. The proofs of our results rely on a characterization of Hardy-type inequalities restricted to monotone functions and with power-slowly varying weights. Some of the limiting cases of these inequalities have not been considered in the literature so far.
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
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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