English

Variation bounds for spherical averages over restricted dilates

Classical Analysis and ODEs 2024-09-10 v1

Abstract

We study LpLq(VEr)L^p\rightarrow L^q(V^r_E) variation semi-norm estimates for the spherical averaging operator, where E[1,2]E\subset [1,2].

Keywords

Cite

@article{arxiv.2409.05579,
  title  = {Variation bounds for spherical averages over restricted dilates},
  author = {Reuben Wheeler},
  journal= {arXiv preprint arXiv:2409.05579},
  year   = {2024}
}

Comments

25 pages, 3 figures

R2 v1 2026-06-28T18:38:28.203Z