Nagoya Mathematical Journal

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

Masanori Adachi and Judith Brinkschulte

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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 -directions everywhere.

Article information

Nagoya Math. J., Volume 220 (2015), 67-80.

Received: 7 January 2014
Revised: 3 July 2014
Accepted: 31 October 2014
First available in Project Euclid: 1 December 2015

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 32V15: CR manifolds as boundaries of domains
Secondary: 32V40: Real submanifolds in complex manifolds

Diederich–Fornaess index $\overline{\partial }$-equation with regularity on pseudoconvex domains


Adachi, Masanori; Brinkschulte, Judith. A global estimate for the Diederich–Fornaess index of weakly pseudoconvex domains. Nagoya Math. J. 220 (2015), 67--80. doi:10.1215/00277630-3335655.

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