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arXiv math/0411441math.CA
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与符号里斯核和Wolff势相关的容量

The capacity associated to signed Riesz kernels, and Wolff potentials

Joan Mateu, Laura Prat, Joan Verdera

摘要:

有一个自然的能力与任何向量值里斯核的一个给定的同质。如果我们在平面上,核是柯西核,那么这个容量就是解析容量。我们的主要结果表明,如果内核的同质性是负的,大于负一,那么容量是一个良好的研究能力的非线性位势论。

英文摘要:

There is a natural capacity associated to any vector valued Riesz kernel of a given homogeneity. If we are in the plane and the kernel is the Cauchy kernel, then this capacity is analytic capacity. Our main result states that if the homogeneity of the kernel is negative and larger than minus one, then the capacity is comparable to one of the well studied capacities of non-linear potential theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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