AN EXAMPLE OF DOUBLE FOURIER–HAAR SERIES WITH A NONREGULAR SUBSERIES

K.A. Keryan

doi:10.46991/PYSU:A/2017.51.1.018

AN EXAMPLE OF DOUBLE FOURIER–HAAR SERIES WITH A NONREGULAR SUBSERIES

Authors

K.A. Keryan College of Science and Engineering, AUA, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2017.51.1.018

Keywords:

double Haar series, majorant, square function, $A$-integral

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}$.

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Published

2017-03-20

How to Cite

Keryan, K. (2017). AN EXAMPLE OF DOUBLE FOURIER–HAAR SERIES WITH A NONREGULAR SUBSERIES. Proceedings of the YSU A: Physical and Mathematical Sciences, 51(1 (242), 18–21. https://doi.org/10.46991/PYSU:A/2017.51.1.018