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arXiv · 2106.15607

John-Nirenberg inequality for Riemann type series

Kristina Oganesyan
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Abstract

We obtain an improvement of the John-Nirenberg inequality for the series of the form $\sum_{n=1}^{\infty}n^{-1}e^{2\pi i n^k x},\;k>2,$ on intervals consisting of points of a same convergent of their continued fractions. We also establish a convergence criterion for these series.

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Kristina Oganesyan. 2021-06-29. John-Nirenberg inequality for Riemann type series. https://arxiv.org/abs/2106.15607

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