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4 papers
Semi-continuity of the Diederich-Fornaess and Steinness indices
Young-Jun Choi, Jihun Yum
In this paper, we prove the semi-continuity theorem of Diederich-Fornæss index and Steinness index under a smooth deformation of pseudoconvex domains in Stein manifolds.
CR-invariance of the Steinness index
Jihun Yum
We characterize the Diederich-Fornaess index and the Steinness index in terms of a special 1-form, which we call D'Angelo 1-form. We then prove that the Diederich-Fornaess and Stei…
On the Steinness index
Jihun Yum
We introduce the concept of Steinness index related to the Stein neighborhood basis. We then show several results: (1) The existence of Steinness index is equivalent to that of str…
Invariance of Diederich-Fornaess index
Jihun Yum
We show that the Diederich-Fornaess index of a domain in a Stein manifold is invariant under CR-diffeomorphisms. For this purpose we also improve CR-extension theorem.