ITERATING BILINEAR HARDY INEQUALITIES

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10372629" target="_blank" >RIV/00216208:11320/17:10372629 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1017/S0013091516000602" target="_blank" >http://dx.doi.org/10.1017/S0013091516000602</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/S0013091516000602" target="_blank" >10.1017/S0013091516000602</a>

Result language
angličtina
Original language name
ITERATING BILINEAR HARDY INEQUALITIES
Original language description
An iteration technique for characterizing boundedness of certain types of multilinear operators is presented, reducing the problem to a corresponding linear-operator case. The method gives a simple proof of a characterization of validity of the weighted bilinear Hardy inequality (integral(b)(a) (integral(t)(a) f integral(t)(a) g)(q) w(t) dt)(1/q) <= C (integral(b)(a) f(v1)(p1))(1/p1) (integral(b)(a) f(v2)(p2))(1/p2) for all non-negative f, g on (a, b), for 1 < p1, p2, q < infinity. More equivalent characterizing conditions are presented. The same technique is applied to various further problems, in particular those involving multilinear integral operators of Hardy type.
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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