An endpoint Littlewood-Paley inequality for BVP associated with the Laplacian on Lipschitz domain

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Pascal Auscher
Ph. Tchamitchian
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.

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Auscher, Pascal; Tchamitchian, Ph. «An endpoint Littlewood-Paley inequality for BVP associated with the Laplacian on Lipschitz domain». Publicacions Matemàtiques, 1999, vol.VOL 43, núm. 2, p. 685-11, http://raco.cat/index.php/PublicacionsMatematiques/article/view/37974.