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Algebra i Analiz, 2016, Volume 28, Issue 5, Pages 236–246 (Mi aa1511)  
This article is cited in 9 scientific papers (total in 9 papers)

Research Papers

Littlewood–Paley–Rubio de Francia inequality for the Walsh system

N. N. Osipovab

a St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka, 27, 191023, St. Petersburg, Russia
b Norwegian University of Science and Technology (NTNU), IME Faculty, Dep. of Math. Sci., Alfred Getz' vei 1, Trondheim, Norway
Full-text PDF (595 kB) Citations (9)
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Abstract: Rubio de Francia proved the one-sided Littlewood–Paley inequality for arbitrary intervals in $L^p$, $2\le p<\infty$. In this article, such an inequality is proved for the Walsh system.
Keywords: Calderón–Zygmund operator, martingales.
Funding agency Grant number
European Research Consortium for Informatics and Mathematics
National Science Foundation DMS 1265549
Russian Foundation for Basic Research 14-01-31163
14-01-00198
This work was carried out during the tenure of an ERCIM “Alain Bensoussan” Fellowship Programme. During the work on this article, the author made a visit to MSU (Michigan, USA) reimbursed from the grant DMS 1265549. The author is also supported by RFBR (grant no. 14-01-31163 and no. 14-01-00198).
Received: 10.03.2016
English version:
St. Petersburg Mathematical Journal, 2017, Volume 28, Issue 5, Pages 719–726
DOI: https://doi.org/10.1090/spmj/1469
Bibliographic databases:
Document Type: Article
Language: English
Citation: N. N. Osipov, “Littlewood–Paley–Rubio de Francia inequality for the Walsh system”, Algebra i Analiz, 28:5 (2016), 236–246; St. Petersburg Math. J., 28:5 (2017), 719–726
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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