English

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

Analysis of PDEs 2025-12-16 v1 Functional Analysis

Abstract

In this paper, we establish Miyachi-Peral-type fixed-time estimates for wave multipliers acting on β\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.

Keywords

Cite

@article{arxiv.2512.12618,
  title  = {Estimates for the wave equation on $\beta$-dimensional spaces of measures},
  author = {Riju Basak and Daniel Spector},
  journal= {arXiv preprint arXiv:2512.12618},
  year   = {2025}
}

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22 pages