Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions

Pablo L. De Nápoli, Irene Drelichman, Ricardo G. Durán

Published 2010-09-02Version 1

We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in $\mathbb{R}^n \times \mathbb{R}_+$ admit a better range of power weights if we restrict ourselves to the space of radially symmetric functions.