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arXiv · 1612.03431

Singular integrals and a problem on mixing flows

Mahir Hadžić·Andreas Seeger·Charles K. Smart·Brian Street
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Abstract

We prove a result related to Bressan's mixing problem. We establish an inequality for the change of Bianchini semi-norms of characteristic functions under the flow generated by a divergence free time dependent vector field. The approach leads to a bilinear singular integral operator for which we prove bounds on Hardy spaces. We include additional observations about the approach and a discrete toy version of Bressan's problem.

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Mahir Hadžić, Andreas Seeger, Charles K. Smart, Brian Street. 2016-12-11. Singular integrals and a problem on mixing flows. https://arxiv.org/abs/1612.03431

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