Dimension estimates for vectorial measures with restricted spectrum

2020/10/28 by Dmitriy Stolyarov, Stolyarov, Dmitriy
Mathematics · #Advanced Topology and Set Theory #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2010.14961

openalex publication_date 2020/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We link the problem of estimating the lower Hausdorff dimension of PDE or Fourier constrained measures with Harnack's inequalities for the heat equation. Our approach provides new estimates in the case of Fourier constraints.

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