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Equivalence between the boundary Harnack principle and the Carleson estimate

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83909

Title: Equivalence between the boundary Harnack principle and the Carleson estimate
Authors: Aikawa, Hiroaki Browse this author
Keywords: Carleson estimate
boundary Harnack principle
harmonic measure
Green function
Issue Date: 2005
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 759
Start Page: 1
End Page: 11
Abstract: Both the boundary Harnack principle and the Carleson estimate describe the boundary behavior of positive harmonic functions vanishing on a portion of the boundary. These notions are inextricably related and have been obtained simultaneously for domains with specific geometrical conditions. The main aim of this paper is to show that the boundary Harnack principle and the Carleson estimate are equivalent for arbitrary domains.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69567
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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