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

Karen Keryan

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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 L1,∞.

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

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