English

Dimension estimates for vectorial measures with restricted spectrum

Classical Analysis and ODEs 2020-10-29 v1 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.2010.14961,
  title  = {Dimension estimates for vectorial measures with restricted spectrum},
  author = {Dmitriy Stolyarov},
  journal= {arXiv preprint arXiv:2010.14961},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T19:42:56.336Z