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

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

2010-09-02

arxiv.org/abs/1009.0484v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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