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arXiv · 2103.01155

The Huovinen transform and rectifiability of measures

Benjamin Jaye·Tomás Merchán
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Abstract

For a set $E$ of positive and finite length, we prove that if the Huovinen transform (the convolution operator with kernel $z^k/|z|^{k+1}$ for an odd number $k$) associated to $E$ exists in principal value, then $E$ is rectifiable.

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Benjamin Jaye, Tomás Merchán. 2021-03-01. The Huovinen transform and rectifiability of measures. https://arxiv.org/abs/2103.01155

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