IMSc Webinar

On the Hardy type potentials

Ujjal Das

IMSc

In this talk, we will be dealing with the weighted Hardy, the weighted Hardy-Rellich, and the weighted logarithmic Sobolev inequalities. More precisely, we will provide various admissible spaces for the weight functions so that one of the above inequality holds. Further, we discuss the sufficient conditions on the admissible weight functions that ensure the best constants in these inequalities are achieved.