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arXiv · 1309.1302

Weighted Calderon-Zygmund and Rellich inequalities in L^p

G. Metafune·M. Sobajima·C. Spina
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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=Δ+c\frac{x}{|x|^2}\cdot\nabla-\frac{b}{|x|^2} are considered. We compute best constants in some situations.

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G. Metafune, M. Sobajima, C. Spina. 2013-09-05. Weighted Calderon-Zygmund and Rellich inequalities in L^p. https://arxiv.org/abs/1309.1302

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