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arXiv · 2512.12618

Estimates for the wave equation on $\beta$-dimensional spaces of measures

Riju Basak·Daniel Spector
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Abstract

In this paper, we establish Miyachi-Peral-type fixed-time estimates for wave multipliers acting on $\beta$-dimension stable spaces of measures. Our estimates give a refinement of known estimates for the Hardy space. From these bounds, we deduce corresponding estimates for the wave equation with measure data.

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Riju Basak, Daniel Spector. 2025-12-14. Estimates for the wave equation on $\beta$-dimensional spaces of measures. https://arxiv.org/abs/2512.12618

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