Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components

A. P. Kopylov

doi:10.1007/s10958-018-3814-0

Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components

A. P. Kopylov

Mathematical Analysis Section

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

Abstract

We study the boundary values of conformal mappings of plane finitely connected domains. We present a complete exposition of a theorem giving an exhaustive description of the boundary values of such mappings in terms of conformal moduli (extremal lengths) of pairs of boundary components of a domain of connectedness at most 3. Bibliography: 12 titles.

Original language	English
Pages (from-to)	181-188
Number of pages	8
Journal	Journal of Mathematical Sciences (United States)
Volume	231
Issue number	2
DOIs	https://doi.org/10.1007/s10958-018-3814-0
Publication status	Published - 1 May 2018

Access to Document

10.1007/s10958-018-3814-0

Link to publication in Scopus

Fingerprint Dive into the research topics of 'Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components'. Together they form a unique fingerprint.

Cite this

@article{0b556a6c6ac247548cec9b66d4e05d1f,

title = "Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components",

abstract = "We study the boundary values of conformal mappings of plane finitely connected domains. We present a complete exposition of a theorem giving an exhaustive description of the boundary values of such mappings in terms of conformal moduli (extremal lengths) of pairs of boundary components of a domain of connectedness at most 3. Bibliography: 12 titles.",

author = "Kopylov, {A. P.}",

year = "2018",

month = may,

day = "1",

doi = "10.1007/s10958-018-3814-0",

language = "English",

volume = "231",

pages = "181--188",

journal = "Journal of Mathematical Sciences (United States)",

issn = "1072-3374",

publisher = "Springer Nature",

number = "2",

}

TY - JOUR

T1 - Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components

AU - Kopylov, A. P.

PY - 2018/5/1

Y1 - 2018/5/1

N2 - We study the boundary values of conformal mappings of plane finitely connected domains. We present a complete exposition of a theorem giving an exhaustive description of the boundary values of such mappings in terms of conformal moduli (extremal lengths) of pairs of boundary components of a domain of connectedness at most 3. Bibliography: 12 titles.

AB - We study the boundary values of conformal mappings of plane finitely connected domains. We present a complete exposition of a theorem giving an exhaustive description of the boundary values of such mappings in terms of conformal moduli (extremal lengths) of pairs of boundary components of a domain of connectedness at most 3. Bibliography: 12 titles.

UR - http://www.scopus.com/inward/record.url?scp=85045898177&partnerID=8YFLogxK

U2 - 10.1007/s10958-018-3814-0

DO - 10.1007/s10958-018-3814-0

M3 - Article

AN - SCOPUS:85045898177

VL - 231

SP - 181

EP - 188

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 2

ER -