Semi-continuity of the Diederich-Fornaess and Steinness indices

Young Jun Choi; Jihun Yum

doi:10.1142/S0129167X20501074

Semi-continuity of the Diederich-Fornaess and Steinness indices

Young Jun Choi
, Jihun Yum^*

^*Corresponding author for this work

Department of Mathematics Education

Pusan National University

Research output: Contribution to journal › Journal article › peer-review

Abstract

In this paper, we prove the semi-continuity theorem of Diederich-Fornaess index and Steinness index under a smooth deformation of pseudoconvex domains in Stein manifolds.

Original language	English
Article number	2050107
Journal	International Journal of Mathematics
Volume	31
Issue number	13
DOIs	https://doi.org/10.1142/S0129167X20501074
State	Published - 2020.12

Keywords

deformation of pseudoconvex domains
Diederich-Fornaess index
Steinness index

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10.1142/S0129167X20501074

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title = "Semi-continuity of the Diederich-Fornaess and Steinness indices",

abstract = "In this paper, we prove the semi-continuity theorem of Diederich-Fornaess index and Steinness index under a smooth deformation of pseudoconvex domains in Stein manifolds.",

keywords = "deformation of pseudoconvex domains, Diederich-Fornaess index, Steinness index",

author = "Choi, \{Young Jun\} and Jihun Yum",

note = "Publisher Copyright: {\textcopyright} 2020 World Scientific Publishing Company.",

year = "2020",

month = dec,

doi = "10.1142/S0129167X20501074",

language = "English",

volume = "31",

journal = "International Journal of Mathematics",

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T1 - Semi-continuity of the Diederich-Fornaess and Steinness indices

AU - Choi, Young Jun

AU - Yum, Jihun

PY - 2020/12

Y1 - 2020/12

N2 - In this paper, we prove the semi-continuity theorem of Diederich-Fornaess index and Steinness index under a smooth deformation of pseudoconvex domains in Stein manifolds.

AB - In this paper, we prove the semi-continuity theorem of Diederich-Fornaess index and Steinness index under a smooth deformation of pseudoconvex domains in Stein manifolds.

KW - deformation of pseudoconvex domains

KW - Diederich-Fornaess index

KW - Steinness index

UR - https://www.scopus.com/pages/publications/85095753587

U2 - 10.1142/S0129167X20501074

DO - 10.1142/S0129167X20501074

M3 - Journal article

AN - SCOPUS:85095753587

SN - 0129-167X

VL - 31

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 13

M1 - 2050107

ER -

Semi-continuity of the Diederich-Fornaess and Steinness indices

Abstract

Keywords

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