Centre for Mathematics, University of Coimbra - The weighted Stieltjes inequality and application

The weighted Stieltjes inequality and application

Description:

Let $1<p\leq q<\infty$. 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.

Date:

2011-06-17

Start Time:

14:30

Speaker:

Amiran Gogatishvili (Institute of Mathematics of the Czech Academy of Sciences, Czech Republic)

Institution:

Institute of Mathematics of the Czech Academy of Sciences of the Czech Republic

Place:

Room 5.5

Research Groups:

-Analysis

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