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A global estimate for the Diederich-Fornaess index of weakly pseudoconvex domains

Part of: CR manifolds

Published online by Cambridge University Press:  11 January 2016

Masanori Adachi  and
Judith Brinkschulte
Masanori Adachi
Affiliation:
Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science, Tokyo, Japanadachi_masanori@ma.noda.tus.ac.jp
Judith Brinkschulte
Affiliation:
Universität Leipzig, Mathematisches Institut, D-04009 Leipzig, Germanybrinkschulte@math.uni-leipzig.de
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Abstract

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A uniform upper bound for the Diederich-Fornaess index is given for weakly pseudoconvex domains whose Levi form of the boundary vanishes in l-directions everywhere.

MSC classification

Secondary: 32V15: CR manifolds as boundaries of domains 32V40: Real submanifolds in complex manifolds
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 220 , December 2015 , pp. 67 - 80
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2015

References

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