Weighted Calderon-Zygmund and Rellich inequalities in L^p

Published 5 Sep 2013 in math.AP | (1309.1302v1)

Abstract: We find necessary and sufficient conditions for the validity of weighted Rellich and Calderon-Zygmund inequalities in L^p, 1 \leq p \leq \infty, in the whole space and in the half-space with Dirichlet boundary conditions. General operators like L=\Delta+c\frac{x}{|x|^{2}\cdot\nabla-\frac{b}{|x|^2}} are considered. We compute best constants in some situations.

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