The Huovinen transform and rectifiability of measures
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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| creator | Jaye, Benjamin Merchán, Tomás |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2103.01155 |
| format | Article |
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| subjects | Mathematics - Classical Analysis and ODEs |
| title | The Huovinen transform and rectifiability of measures |
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