Caracterización de los espacios de Lipschitz en términos de las derivadas de orden no entero de las integrales de Poisson

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The Lipschitz spaces (Rn),  > 0 are dened and characterized in terms of partial derivatives of the Poisson integrals. In this paper we show a characterization of the functions of (Rn), in terms of the Riemann-Liouville,s non integer order derivative of the Poisson integral. For this we generalize to the non integer case some propierties of the kernel and Poisson integral,s partial derivatives.

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Resumen

Inglés The Lipschitz spaces (Rn),  > 0 are dened and characterized in terms of partial derivatives of the Poisson integrals. In this paper we show a characterization of the functions of (Rn), in terms of the Riemann-Liouville,s non integer order derivative of the Poisson integral. For this we generalize to the non integer case some propierties of the kernel and Poisson integral,s partial derivatives.