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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Detalles Bibliográficos
Autores principales: De Nápoli, P.L., Drelichman, I., Durán, R.G.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15340392_v11_n5_p1629_DeNapoli
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Descripción
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.