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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 327, Pages 150–167 (Mi znsl329)  
This article is cited in 10 scientific papers (total in 10 papers)

Two theorems on the Hardy–Lorentz classes $H^{1,q}$

D. V. Parilov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (293 kB) Citations (10)
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Abstract: In this paper two main topics are described. First, we obtain atomic decomposition for the spaces $H^{1,q}$, $1<q<\infty$ (this case has not been considered before). Second, we show that a multiplier that meets the condition of the Marcinkiewicz Theorem, acts from $H^1$ to $H^{(1,\infty)}$.
Received: 16.05.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 139, Issue 2, Pages 6447–6456
DOI: https://doi.org/10.1007/s10958-006-0362-9
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: D. V. Parilov, “Two theorems on the Hardy–Lorentz classes $H^{1,q}$”, Investigations on linear operators and function theory. Part 33, Zap. Nauchn. Sem. POMI, 327, POMI, St. Petersburg, 2005, 150–167; J. Math. Sci. (N. Y.), 139:2 (2006), 6447–6456
Citation in format AMSBIB
\Bibitem{Par05}
\by D.~V.~Parilov
\paper Two theorems on the Hardy--Lorentz classes $H^{1,q}$
\inbook Investigations on linear operators and function theory. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 327
\pages 150--167
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl329}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2184434}
\zmath{https://zbmath.org/?q=an:1088.30030}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 139
\issue 2
\pages 6447--6456
\crossref{https://doi.org/10.1007/s10958-006-0362-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750192585}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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