An explicit expression for the K_r functionals of interpolation between L^p spaces.

Título inglés	An explicit expression for the Kr functionals of interpolation between Lp spaces.
Título español	Expresión explícita de los funcionales Kr de interpolación entre espacios Lp.
Autor/es	Bastero, Jesús ; Raynaud, Yves ; Rezola, M. Luisa
Organización	Dep. Mat. Fac. Cien. Univ. Zaragoza, Zaragoza, España;Equ. Anal. Univ. Paris VI, París, Francia
Revista	0214-1493
Publicación	1991, 35 (1): 97-117, 11 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	When dealing with interpolation spaces by real methods one is lead to compute (or at least to estimate) the K-functional associated to the couple of interpolation spaces. This concept was first introduced by J. Peetre (see [8], [9]) and some efforts have been done to find explicit expressions of it for the case of Lebesgue spaces. It is well known that for the couple consisting of L1 and L∞ on [0, ∞) K is given by K (t; f, L1, L∞) = ∫0t f* where f* denotes the non increasing rearrangement of the function f. The aim of this paper is to answer a question raised by J. Peetre to the autors and to extend the results in [1] and [7] for the more general case of the Kr funcitionals between Lp spaces.
Código MathReviews	MR1103609
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