" The Weighted Stieltjes Inequality and Applications "





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.