It is proved that the reiteration theorem is not valid for the spaces Ap (theta,q) defined by V. Popov by means of onesided approximation. It is also proved that a class of cones, defined by onesided approximation of piecewise linear functions on the interval [0,1], is stable for the real interpolation method.
@article{urn:eudml:doc:40860,
title = {Onesided approximation and real interpolation.},
journal = {Collectanea Mathematica},
volume = {48},
year = {1997},
pages = {619-634},
mrnumber = {MR1602612},
zbl = {0892.41007},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40860}
}
Krugljak, N.; Matvejev, E. Onesided approximation and real interpolation.. Collectanea Mathematica, Tome 48 (1997) pp. 619-634. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40860/