在树木、图形和均匀的几何空间上的干扰能力

IF 0.2 Q4 MATHEMATICS

Bruno Pini Mathematical Analysis Seminar Pub Date : 2010-12-30 DOI:10.6092/ISSN.2240-2829/2257

Nicola Arcozzi

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引用次数: 0

摘要

与R. Rochberg E. Sawyer和B. Wick [ARSW]合作。我们证明了在ahlfors -正则度量空间上贝塞尔型核的势理论在精确意义上等价于树的势理论。这项工作的基础是在[ARS2]中，其中考虑了离散势理论和一些经典函数理论之间的关系。讨论了在机组和凝汽器容量估计中的一些应用。

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Capacità d'insiemi su alberi, grafi e spazi metrici Ahlfors-regolari

Work in collaboration with R. Rochberg E. Sawyer and B. Wick [ARSW]. We show that the potential theory of Bessel-type kernels on Ahlfors-regular metric spaces is equivalent, in a precise sense, to potential theory on trees. The basis of this work was in [ARS2], where the relationship between discrete potential theory and some classical function theory was considered. Some applications [Ar] to estimation of sets' and condenser's capacity are discussed.

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来源期刊

Bruno Pini Mathematical Analysis Seminar MATHEMATICS-

CiteScore

0.30

自引率

0.00%

发文量

审稿时长

15 weeks