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Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions (1009.0484v1)
Published 2 Sep 2010 in math.CA and math.AP
Abstract: 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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