We give an extension of the commutator theorems of Jawerth, Rochberg and Weiss [9] for the real method of interpolation. The results are motivated by recent work by Iwaniek and Sbordone [6] on generalized Hodge decompositions. The main estimates of these authors are based on a commutator theorem for a specific operator acting on Lp spaces and through the use of the complex method of interpolation. In this note we give an extension of the Iwaniek-Sbordone theorem to general real interpolation scales.
@article{urn:eudml:doc:42087,
title = {A commutator theorem with applications.},
journal = {Collectanea Mathematica},
volume = {44},
year = {1993},
pages = {201-210},
zbl = {0823.46069},
mrnumber = {MR1280738},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42087}
}
Milman, Mario. A commutator theorem with applications.. Collectanea Mathematica, Tome 44 (1993) pp. 201-210. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42087/