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arXiv · 1811.12370

On the local H\"older boundary smoothness of an analytic function in the unit ball compared with the smoothness of its modulus

Ioann Vasilyev
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Abstract

Local boundary smoothness of an analytic function f on the unit ball of C^n is compared to the smoothness of its modulus. We prove that different conditions imposed on the zeros of f imply different drops of the smoothness. We also show that some of the drops are the best possible.

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Ioann Vasilyev. 2018-11-29. On the local H\"older boundary smoothness of an analytic function in the unit ball compared with the smoothness of its modulus. https://arxiv.org/abs/1811.12370

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