Minimal circumscribed Hermitian ellipsoid of Hartogs domains and an application to an extremal problem

An Wang; Heung Ju Ahn; Jong Do Park

doi:10.1007/s11425-009-0003-0

Minimal circumscribed Hermitian ellipsoid of Hartogs domains and an application to an extremal problem

An Wang
, Heung Ju Ahn
, Jong Do Park

School of Undergraduate Studies

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we construct circumscribed Hermitian ellipsoids of Hartogs domains of least volume and as an application, we obtain the Carathéodory extremal mappings between the Hartogs domains and the unit ball, and also give an explicit formula for calculating the extremal values.

Original language	English
Pages (from-to)	1699-1716
Number of pages	18
Journal	Science in China, Series A: Mathematics
Volume	52
Issue number	8
DOIs	https://doi.org/10.1007/s11425-009-0003-0
State	Published - 2009

Bibliographical note

Funding Information:
Received June 10, 2008; accepted September 4, 2008 DOI: 10.1007/s11425-009-0003-0 † Corresponding author This work was supported by National Natural Science Foundation of China (Grant No. 10771144), the Beijing Natural Science Foundation (Grant No. 1082005) and the Korea Research Foundation Grant Funded by Korea Government (MOEHRD, Basic Research Promotion Fund) (Grant No. KRF-2005-070-C00007)

Keywords

Extremal problem
Hartogs domain
Minimal circumscribed Hermitian ellipsoid

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10.1007/s11425-009-0003-0

Cite this

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title = "Minimal circumscribed Hermitian ellipsoid of Hartogs domains and an application to an extremal problem",

abstract = "In this paper we construct circumscribed Hermitian ellipsoids of Hartogs domains of least volume and as an application, we obtain the Carath{\'e}odory extremal mappings between the Hartogs domains and the unit ball, and also give an explicit formula for calculating the extremal values.",

keywords = "Extremal problem, Hartogs domain, Minimal circumscribed Hermitian ellipsoid",

author = "An Wang and Ahn, \{Heung Ju\} and Park, \{Jong Do\}",

note = "Funding Information: Received June 10, 2008; accepted September 4, 2008 DOI: 10.1007/s11425-009-0003-0 † Corresponding author This work was supported by National Natural Science Foundation of China (Grant No. 10771144), the Beijing Natural Science Foundation (Grant No. 1082005) and the Korea Research Foundation Grant Funded by Korea Government (MOEHRD, Basic Research Promotion Fund) (Grant No. KRF-2005-070-C00007)",

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AU - Wang, An

AU - Ahn, Heung Ju

AU - Park, Jong Do

N1 - Funding Information: Received June 10, 2008; accepted September 4, 2008 DOI: 10.1007/s11425-009-0003-0 † Corresponding author This work was supported by National Natural Science Foundation of China (Grant No. 10771144), the Beijing Natural Science Foundation (Grant No. 1082005) and the Korea Research Foundation Grant Funded by Korea Government (MOEHRD, Basic Research Promotion Fund) (Grant No. KRF-2005-070-C00007)

PY - 2009

Y1 - 2009

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AB - In this paper we construct circumscribed Hermitian ellipsoids of Hartogs domains of least volume and as an application, we obtain the Carathéodory extremal mappings between the Hartogs domains and the unit ball, and also give an explicit formula for calculating the extremal values.

KW - Extremal problem

KW - Hartogs domain

KW - Minimal circumscribed Hermitian ellipsoid

UR - https://www.scopus.com/pages/publications/70349999678

U2 - 10.1007/s11425-009-0003-0

DO - 10.1007/s11425-009-0003-0

M3 - Article

AN - SCOPUS:70349999678

SN - 1006-9283

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SP - 1699

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JO - Science in China, Series A: Mathematics

JF - Science in China, Series A: Mathematics

IS - 8

ER -

Minimal circumscribed Hermitian ellipsoid of Hartogs domains and an application to an extremal problem

Abstract

Bibliographical note

Keywords

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