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arXiv · 1608.07160

Growth description of $p$th means of the Green potential in the unit ball

Igor Chyzhykov·Mariya Voitovych
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Abstract

We describe the growth of $p$th means, $1<p<\frac{2n-1}{2(n-1)}$, of the invariant Green potential in the unit ball in $\mathbb{C}^n$ in terms of smoothness properties of a measure. In particular, a criterion of boundedness of $p$th means of the potential is obtained, a result of M. Stoll is generalized.

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Igor Chyzhykov, Mariya Voitovych. 2016-08-25. Growth description of $p$th means of the Green potential in the unit ball. https://arxiv.org/abs/1608.07160

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