Natural Science, Mathematics, 2025
AN EXAMPLE OF DOUBLE FOURIERâHAAR SERIES WITH A NONREGULAR SUBSERIES
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Submitted: 2025-02-06; Published: 2025-02-06
Š 2025 by author(s) and The Gufo Inc.
This work is licensed under Creative Commons AttributionâNonCommercial International License
(CC BY-NC 4.0).
Abstract
We bring an example of integrable function on [0;1]2, so that the double FourierâHaar series has a subseries, whose majorant of partial sums does not belong to L1,â.