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On Boundary Points at Which the Squeezing Function Tends to One

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Abstract

J. E. Fornæss posed the question whether the boundary point of smoothly bounded pseudoconvex domain is strictly pseudoconvex, when the asymptotic limit value of the squeezing function is 1. The purpose of this paper is to give an affirmative answer if the domain is in \(\mathbb {C}^{2}\) with smooth boundary of finite type in the sense of D’Angelo (Ann Math (2) 115(3):615–637, 1982).

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Acknowledgements

We would like to thank the anonymous referee for many invaluable comments, which contributed greatly for the revision of this article. This Research was supported in part by the Grant 2011-0030044 (The SRC-GAIA) of the National Research Foundation of the Republic of Korea.

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  1. Department of Mathematics, POSTECH, Pohang, 37673, Republic of Korea

    Seungro Joo & Kang-Tae Kim

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  1. Seungro Joo
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  2. Kang-Tae Kim
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Correspondence to Kang-Tae Kim.

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Joo, S., Kim, KT. On Boundary Points at Which the Squeezing Function Tends to One. J Geom Anal 28, 2456–2465 (2018). https://doi.org/10.1007/s12220-017-9910-4

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