Revistes Catalanes amb Accés Obert (RACO)

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

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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