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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) Russian version article
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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
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”, Sb. Math., 205:7 (2014), 1004–1023
Citation in format AMSBIB
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\vol 205
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\pages 1004--1023
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  • https://www.mathnet.ru/eng/sm/v205/i7/p95
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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