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Equivalence between the boundary Harnack principle and the Carleson estimate
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 |
Publisher: | Department of Mathematics, Hokkaido University |
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
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Submitter: 数学紀要登録作業用
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