# An explicit expression for the Kr functionals of interpolation between Lp spaces.

Jesús Bastero; Yves Raynaud; M. Luisa Rezola

Publicacions Matemàtiques (1991)

- Volume: 35, Issue: 1, page 97-117
- ISSN: 0214-1493

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topBastero, Jesús, Raynaud, Yves, and Rezola, M. Luisa. "An explicit expression for the Kr functionals of interpolation between Lp spaces.." Publicacions Matemàtiques 35.1 (1991): 97-117. <http://eudml.org/doc/41677>.

@article{Bastero1991,

abstract = {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.},

author = {Bastero, Jesús, Raynaud, Yves, Rezola, M. Luisa},

journal = {Publicacions Matemàtiques},

keywords = {-functional; -functionals between spaces; interpolation spaces},

language = {eng},

number = {1},

pages = {97-117},

title = {An explicit expression for the Kr functionals of interpolation between Lp spaces.},

url = {http://eudml.org/doc/41677},

volume = {35},

year = {1991},

}

TY - JOUR

AU - Bastero, Jesús

AU - Raynaud, Yves

AU - Rezola, M. Luisa

TI - An explicit expression for the Kr functionals of interpolation between Lp spaces.

JO - Publicacions Matemàtiques

PY - 1991

VL - 35

IS - 1

SP - 97

EP - 117

AB - 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.

LA - eng

KW - -functional; -functionals between spaces; interpolation spaces

UR - http://eudml.org/doc/41677

ER -