Extremum problems for Golubev sums
Suppose thatG is a finitely connected domain with rectifiable boundary γ, ∞εG, the domainsD1,...,Ds are the complements ofG, the subsetsFj⊂Dj are infinite and compact,nj≥1,j=1,...,s, are integers, λ0 is a complex-valued measure on γ, andWe consider the extremum problem where μj,j=1,...,s, are comple...
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| Published in: | Mathematical Notes Vol. 65; no. 5; pp. 620 - 626 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
New York
Springer Nature B.V
01.05.1999
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| Subjects: | |
| ISSN: | 0001-4346, 1067-9073, 1573-8876 |
| Online Access: | Get full text |
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| Summary: | Suppose thatG is a finitely connected domain with rectifiable boundary γ, ∞εG, the domainsD1,...,Ds are the complements ofG, the subsetsFj⊂Dj are infinite and compact,nj≥1,j=1,...,s, are integers, λ0 is a complex-valued measure on γ, andWe consider the extremum problem where μj,j=1,...,s, are complex-valued measures onFj and are Golubev sums. We prove that β=Δ, whereWe also establish several other relations between these and other extremal variables. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 0001-4346 1067-9073 1573-8876 |
| DOI: | 10.1007/BF02743172 |