Bastero, 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 -
