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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 503, Pages 137–153 (Mi znsl7105)  
On the vector-valued extension of Littlewood–Paley–Rubio de Francia inequality for Walsh functions

A. Tselishchev

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: In the case of trigonometric system, Rubio de Francia proved the one-sided Littlewood–Paley inequality for arbitrary intervals and for the functions in the $L^p$ spaces, $2\le p$.
Key words and phrases: Walsh system, martingales, UMD property.
Funding agency Grant number
Russian Science Foundation 18-11-00053
Received: 13.06.2021
Document Type: Article
UDC: 517.983.6
Language: Russian
Citation: A. Tselishchev, “On the vector-valued extension of Littlewood–Paley–Rubio de Francia inequality for Walsh functions”, Investigations on linear operators and function theory. Part 49, Zap. Nauchn. Sem. POMI, 503, POMI, St. Petersburg, 2021, 137–153
Citation in format AMSBIB
\Bibitem{Tse21}
\by A.~Tselishchev
\paper On the vector-valued extension of Littlewood--Paley--Rubio de Francia inequality for Walsh functions
\inbook Investigations on linear operators and function theory. Part~49
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 503
\pages 137--153
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7105}
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