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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2017, Volume 51, Issue 1, Pages 18–21 (Mi uzeru325)  
Mathematics

An example of double Fourier–Haar series with a nonregular subseries

K. A. Kerianab

a Chair of Mathematical Analysis and Function Theory YSU, Armenia
b College of Science and Engineering AUA, Armenia
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Abstract: We bring an example of integrable function on $[0;1]^2$, so that the double Fourier–Haar series has a subseries, whose majorant of partial sums does not belong to $L^{1,\infty}$.
Keywords: double Haar series, majorant, square function, $A$-integral.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 15T-1A006
This work was supported by State Committee of Science MES RA in frame of research project SCS RA 15T–1A006.
Received: 18.11.2016
Accepted: 17.01.2017
Document Type: Article
MSC: Primary 42C10; Secondary 26A39
Language: English
Citation: K. A. Kerian, “An example of double Fourier–Haar series with a nonregular subseries”, Proceedings of the YSU, Physical and Mathematical Sciences, 51:1 (2017), 18–21
Citation in format AMSBIB
\Bibitem{Ker17}
\by K.~A.~Kerian
\paper An example of double Fourier–Haar series with a nonregular subseries
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2017
\vol 51
\issue 1
\pages 18--21
\mathnet{http://mi.mathnet.ru/uzeru325}
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