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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 345, Pages 113–119 (Mi znsl100)  
On singular integrals related to the Littlewood–Paley inequality for arbitrary intervals

S. V. Kislyakov, D. V. Parilov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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Abstract: The proof of the inequality mentioned in the title requires the knowledge of the fact that operators of a certain class are Calderór–Zygmund singular integral operators. We slightly extend this class.
Received: 02.07.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 148, Issue 6, Pages 846–849
DOI: https://doi.org/10.1007/s10958-008-0031-2
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: S. V. Kislyakov, D. V. Parilov, “On singular integrals related to the Littlewood–Paley inequality for arbitrary intervals”, Investigations on linear operators and function theory. Part 35, Zap. Nauchn. Sem. POMI, 345, POMI, St. Petersburg, 2007, 113–119; J. Math. Sci. (N. Y.), 148:6 (2008), 846–849
Citation in format AMSBIB
\Bibitem{KisPar07}
\by S.~V.~Kislyakov, D.~V.~Parilov
\paper On singular integrals related to the Littlewood--Paley inequality for arbitrary intervals
\inbook Investigations on linear operators and function theory. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 345
\pages 113--119
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl100}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2432179}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 148
\issue 6
\pages 846--849
\crossref{https://doi.org/10.1007/s10958-008-0031-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38549098525}
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