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Algebra i Analiz, 2006, Volume 18, Issue 2, Pages 24–56 (Mi aa67)  
This article is cited in 33 scientific papers (total in 33 papers)

Research Papers

The Bellman functions for a certain two-weight inequality: A case study

V. Vasyunina, A. Vol'bergb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Department of Mathematics, Michigan State University, MI, USA
Full-text PDF (300 kB) Citations (33)
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Abstract: A formula is presented for the exact Bellman function of a certain “toy” two-weight problem. This adds one more function to a short list of other Bellman functions for which the precise expressions have recently been found. The case study reveals essential features of finding Bellman functions in general and gives the extremal sequences for the problem. Some open questions are posed.
Received: 30.11.2005
English version:
St. Petersburg Mathematical Journal, 2007, Volume 18, Issue 2, Pages 201–222
DOI: https://doi.org/10.1090/S1061-0022-07-00953-3
Bibliographic databases:
Document Type: Article
MSC: 42B20, 42A50, 47B35
Language: Russian
Citation: V. Vasyunin, A. Vol'berg, “The Bellman functions for a certain two-weight inequality: A case study”, Algebra i Analiz, 18:2 (2006), 24–56; St. Petersburg Math. J., 18:2 (2007), 201–222
Citation in format AMSBIB
\Bibitem{VasVol06}
\by V.~Vasyunin, A.~Vol'berg
\paper The Bellman functions for a certain two-weight inequality: A~case study
\jour Algebra i Analiz
\yr 2006
\vol 18
\issue 2
\pages 24--56
\mathnet{http://mi.mathnet.ru/aa67}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2244935}
\zmath{https://zbmath.org/?q=an:1125.47025}
\transl
\jour St. Petersburg Math. J.
\yr 2007
\vol 18
\issue 2
\pages 201--222
\crossref{https://doi.org/10.1090/S1061-0022-07-00953-3}
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    • This publication is cited in the following 33 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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