We prove a commutator inequality of Littlewood-Paley type between partial derivatives and functions of the Laplacian on a Lipschitz domain which gives interior energy estimates for some BVP. It can be seen as an endpoint inequality for a family of energy estimates.
@article{urn:eudml:doc:41381,
title = {An endpoint Littlewood-Paley inequality for BVP associated with the Laplacian on Lipschitz domains.},
journal = {Publicacions Matem\`atiques},
volume = {43},
year = {1999},
pages = {685-711},
mrnumber = {MR1744625},
zbl = {0959.35027},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41381}
}
Auscher, Pascal; Tchamitchian, Philippe. An endpoint Littlewood-Paley inequality for BVP associated with the Laplacian on Lipschitz domains.. Publicacions Matemàtiques, Tome 43 (1999) pp. 685-711. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41381/