The Huovinen transform and rectifiability of measures
نویسندگان
چکیده
For a set E of positive and finite length, we prove that if the Huovinen transform (the convolution operator with kernel zk/|z|k+1 for an odd number k) associated to exists in principal value, then is rectifiable.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108297