The weighted Stieltjes inequality and applications

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00391951" target="_blank" >RIV/67985840:_____/13:00391951 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/mana.201100092" target="_blank" >http://dx.doi.org/10.1002/mana.201100092</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.201100092" target="_blank" >10.1002/mana.201100092</a>

Result language
angličtina
Original language name
The weighted Stieltjes inequality and applications
Original language description
Let 1 < p <= q < 1. Inspired by some results concerning characterization of weighted Hardy type inequalities, where the equivalence of four scales of integral conditions was proved, we use related ideas to find some new equivalent scales of integral conditions related to the Stieltjes transform. By applying our result to weighted inequalities for the Stieltjes transform we obtain four new scales of conditions for characterization of this inequality. We also derive a new characterization for the solvability of a Riccati type equation and show via our new results that this characterization can be done in infinite many ways via our four scales of equivalent conditions.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA201%2F08%2F0383" target="_blank" >GA201/08/0383: Function Spaces, Weighted Inequalities and Interpolation</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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