" The Weighted Stieltjes Inequality and Applications "
By
Amiran Gogatishvili
(Institute of Mathematics of
Academy of Sciences of Czech Republic)
Abstract: Inspired by some results concerning
characterization of weighted Hardytype 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.
Date: Tuesday, April 29, 2014
Time: 15:40
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the
seminar.