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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 416, Pages 59–69 (Mi znsl5703)  
This article is cited in 2 scientific papers (total in 2 papers)

The property $\log(f)\in BMO(\mathbb R^n)$ in terms of the Riesz transformations

I. M. Vasilyev

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (226 kB) Citations (2)
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Abstract: The condition mentioned in the title is equivalent to the representability of $f$ as a quotient $f=v_1/v_2$ where $v_1$ and $v_2$ obey the inequality $|R_jv_i|\le cv_i$, $i=1,2$, $j=1,\ldots,n$. Here $R_1,\ldots,R_n$ are the Riesz transformations.
Key words and phrases: Riesz transformation, subharmonicity, reverse Hölder inequality.
Received: 24.02.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 202, Issue 4, Pages 519–525
DOI: https://doi.org/10.1007/s10958-014-2058-x
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: I. M. Vasilyev, “The property $\log(f)\in BMO(\mathbb R^n)$ in terms of the Riesz transformations”, Investigations on linear operators and function theory. Part 41, Zap. Nauchn. Sem. POMI, 416, POMI, St. Petersburg, 2013, 59–69; J. Math. Sci. (N. Y.), 202:4 (2014), 519–525
Citation in format AMSBIB
\Bibitem{Vas13}
\by I.~M.~Vasilyev
\paper The property $\log(f)\in BMO(\mathbb R^n)$ in terms of the Riesz transformations
\inbook Investigations on linear operators and function theory. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 416
\pages 59--69
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5703}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 202
\issue 4
\pages 519--525
\crossref{https://doi.org/10.1007/s10958-014-2058-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84922072928}
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  • https://www.mathnet.ru/eng/znsl/v416/p59
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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