Contributed Session 2:  PDEs and Applications
Improved $L^{p}$-$L^{q}$ Hardy Inequalities
Almat Orazbayev
Nazarbayev University
Kazakhstan
  Co-Author(s):    Durvudkhan Suragan
  Abstract:
 

In this talk, we obtain a new version of the Hardy inequality which covers the recent inequality of Frank, Laptev, and Weidl (JMI (2015), (2), 437-447) and improves the result of Persson and Samko (J. Math. Sci. (N.Y.) 268 (2022), no. 3). It gives new results in one dimension. We analyse radial and non-radial multidimensional versions of the considered inequality as consequences.