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Comparison estimates for the Green function and the Martin kernel

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83876

Title: Comparison estimates for the Green function and the Martin kernel
Authors: Hirata, Kentaro Browse this author
Keywords: Green function
Martin kernel
uniform domain
Issue Date: 2005
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 726
Start Page: 1
End Page: 11
Abstract: A comparison estimate for the product of the Green function and the Martin kernel is given in a uniform domain. As its application, we show the equivalence of ordinary thinness and minimal thinness of a set contained in a non-tangential cone. We also give a comparison estimate for the Martin kernels with distinct singularities.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69534
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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