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Matematicheskie Zametki, 2012, Volume 92, Issue 6, Pages 893–903
DOI: https://doi.org/10.4213/mzm9235 (Mi mzm9235) 		 
This article is cited in 2 scientific papers (total in 2 papers)

New Uniqueness Conditions for the Classical Moment Problem

K. V. Lykov

Samara State University
Full-text PDF (496 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm9235
Abstract: New conditions for the well-posedness of the Hamburger and Stieltjes power moment problems are proposed. The proposed conditions are closely related in form and by the simplicity of their application to the Cramer condition, and by their accuracy and field of application to the Carleman conditions. The results are obtained by using ideas from the theory of extrapolation of spaces and operators that was constructed by Jawerth and Milman in the 1980s.
Keywords: power moment problem, uniqueness conditions for the moment problem due to Carleman, conditions for the well-posedness of the moment problem, due to Cramer and Krein, extrapolation of spaces and operators, Marcinkiewicz space, Orlicz space.
Received: 26.03.2004
Revised: 08.06.2006
English version:
Mathematical Notes, 2012, Volume 92, Issue 6, Pages 797–806
DOI: https://doi.org/10.1134/S0001434612110259
Bibliographic databases:
Document Type: Article
UDC: 519.213+517.98
Language: Russian
Citation: K. V. Lykov, “New Uniqueness Conditions for the Classical Moment Problem”, Mat. Zametki, 92:6 (2012), 893–903; Math. Notes, 92:6 (2012), 797–806
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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