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Sbornik: Mathematics, 2014, Volume 205, Issue 7, Pages 1004–1023
DOI: https://doi.org/10.1070/SM2014v205n07ABEH004407 (Mi sm8324) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Littlewood-Paley-Rubio de Francia inequality in Morrey-Campanato spaces

N. N. Osipov

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
English version PDF (595 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM2014v205n07ABEH004407
Abstract: Rubio de Francia proved a one-sided Littlewood-Paley inequality for arbitrary intervals in $L^p$, $2\le p<\infty$. In this article, his methods are developed and employed to prove an analogue of this type of inequality for exponents $p$ `beyond the index $p=\infty$', that is, for spaces of Hölder functions and BMO.
Bibliography: 14 titles.
Keywords: $\mathrm{BMO}$ space, Calderón-Zygmund operators, Fourier multipliers, Hölder spaces, Lipschitz space.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 11.G34.31.0026
Russian Foundation for Basic Research 11-01-00526
Leonhard Euler International Charitable Foundation for Mathematics
Received: 07.01.2014
Russian version:
Matematicheskii Sbornik, 2014, Volume 205, Number 7, Pages 95–114
DOI: https://doi.org/10.4213/sm8324
Bibliographic databases:
Document Type: Article
UDC: 517.443+517.444
MSC: Primary 42B25; Secondary 46E15
Language: English
Original paper language: Russian
Citation: N. N. Osipov, “The Littlewood-Paley-Rubio de Francia inequality in Morrey-Campanato spaces”, Mat. Sb., 205:7 (2014), 95–114; Sb. Math., 205:7 (2014), 1004–1023
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:67
    First page:38
     
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