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arXiv · 2606.20219

An integral characterization of almost equicontinuity

Nuno J. Alves·Hikmatullo Ismatov
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Abstract

We characterize the pointwise notion of almost equicontinuity for families of real-valued measurable functions on subsets of $\mathbb R^n$ of finite measure. The characterization is given by means of an integral truncated translation condition. We also provide examples showing that the finite measure assumption and the truncation are essential.

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Nuno J. Alves, Hikmatullo Ismatov. 2026-06-18. An integral characterization of almost equicontinuity. https://arxiv.org/abs/2606.20219

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