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

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  • 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.
    Mathematics Subject Classification: Primary: 26D10, 46E35; Secondary: 47G10.


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    J. F. Bonder and J. Dolbeault, work in progress .


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