On $L_p$-integrability of functions with general monotone Fourier coefficients
Classical Analysis and ODEs
2025-10-17 v1
Abstract
We introduce new classes of general monotone sequences and study their properties. For functions whose Fourier coefficients belong to these classes, we establish Hardy-Littlewood-type theorems.
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Cite
@article{arxiv.2510.14458,
title = {On $L_p$-integrability of functions with general monotone Fourier coefficients},
author = {Askhat Mukanov and Erlan Nursultanov},
journal= {arXiv preprint arXiv:2510.14458},
year = {2025}
}
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26 pages