Improved caffarelli-kohn-nirenberg and trace inequalities for radial functions
We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in ℝn × ℝ+ admit a better range of power weights if we restrict ourselves to the space of radially symmetric functions.
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Autores principales: | , , |
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Formato: | JOUR |
Materias: | |
Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15340392_v11_n5_p1629_DeNapoli |
Aporte de: |
Sumario: | We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in ℝn × ℝ+ admit a better range of power weights if we restrict ourselves to the space of radially symmetric functions. |
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