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arXiv · 2006.09060

Remarks on Ornstein's non-inequality in $\mathbb{R}^{2\times 2}$

Daniel Faraco·André Guerra
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Abstract

We give a very concise proof of Ornstein's $L^1$ non-inequality for first- and second-order operators in two dimensions. The proof just needs a two-dimensional laminate supported on three points.

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Daniel Faraco, André Guerra. 2020-06-16. Remarks on Ornstein's non-inequality in $\mathbb{R}^{2\times 2}$. https://doi.org/10.1093/qmath/haab016

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