Some examples of the close interaction between inequalities and interpolation are presented and discussed. An interpolation technique to prove generalized Clarkson inequalities is pointed out. We also discuss and apply to the theory of interpolation the recently found facts that the Gustavsson-Peetre class P+- can be described by one Carlson type inequality and that the wider class P0 can be characterized by another Carlson type inequality with blocks.
@article{urn:eudml:doc:42078,
title = {Inequalities and interpolation.},
journal = {Collectanea Mathematica},
volume = {44},
year = {1993},
pages = {181-199},
zbl = {0804.46086},
mrnumber = {MR1280737},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42078}
}
Maligranda, L.; Persson, L. E. Inequalities and interpolation.. Collectanea Mathematica, Tome 44 (1993) pp. 181-199. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42078/