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Sbornik: Mathematics, 2018, Volume 209, Issue 7, Pages 922–957
DOI: https://doi.org/10.1070/SM8900 (Mi sm8900) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Constrained extremal problems in $H^2$ and Carleman's formulae

L. Baratchart, J. Leblond, F. Seyfert

Institut National de Recherche en Informatique et en Automatique, Sophia Antipolis – Méditerranée, France
English version PDF (754 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM8900
Abstract: We consider the extremal problem of best approximation to some function $f$ in $L^2(I)$, with $I$ a subset of the circle, by the trace of a Hardy function whose modulus is bounded pointwise by some gauge function on the complementary subset.
Bibliography: 36 titles.
Keywords: Hardy spaces, extremal problems, approximations in the complex domain, Cauchy problem, inverse boundary problems.
Received: 30.12.2016 and 09.02.2018
Russian version:
Matematicheskii Sbornik, 2018, Volume 209, Number 7, Pages 4–43
DOI: https://doi.org/10.4213/sm8900
Bibliographic databases:
Document Type: Article
UDC: 517.538.5
MSC: Primary 41A50; Secondary 30D55, 30E10, 35R25
Language: English
Original paper language: Russian
Citation: L. Baratchart, J. Leblond, F. Seyfert, “Constrained extremal problems in $H^2$ and Carleman's formulae”, Mat. Sb., 209:7 (2018), 4–43; Sb. Math., 209:7 (2018), 922–957
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:98
    English version PDF:20
    References:64
    First page:25
     
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