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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 255, Pages 164–176 (Mi znsl982)  
This article is cited in 2 scientific papers (total in 2 papers)

Two multidimensional analogues of the F. and M. Riesz theorem

M. M. Roginskaya

Saint-Petersburg State University
Full-text PDF (243 kB) Citations (2)
Abstract: A new collection of Riesz sets for $\mathbb R^n$ and $\mathbb Z^n$ is exhibitize. The results are new even in $1$-dimensional case. An asymptotic estimate of Fourier multipliers on finite measures in $H^{1,\infty}$ space used for the proof is interesting in itself.
Received: 28.11.1998
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 107, Issue 4, Pages 4083–4091
DOI: https://doi.org/10.1023/A:1012496818444
Bibliographic databases:
UDC: 517.98+517.44
Language: Russian
Citation: M. M. Roginskaya, “Two multidimensional analogues of the F. and M. Riesz theorem”, Investigations on linear operators and function theory. Part 26, Zap. Nauchn. Sem. POMI, 255, POMI, St. Petersburg, 1998, 164–176; J. Math. Sci. (New York), 107:4 (2001), 4083–4091
Citation in format AMSBIB
\Bibitem{Rog98}
\by M.~M.~Roginskaya
\paper Two multidimensional analogues of the F.~and M.~Riesz theorem
\inbook Investigations on linear operators and function theory. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 255
\pages 164--176
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl982}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692912}
\zmath{https://zbmath.org/?q=an:0981.42007}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 107
\issue 4
\pages 4083--4091
\crossref{https://doi.org/10.1023/A:1012496818444}
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  • https://www.mathnet.ru/eng/znsl/v255/p164
    • 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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