English

Variation bounds for spherical averages

Classical Analysis and ODEs 2021-10-26 v2

Abstract

We consider rr-variation operators for the family of spherical means, with special emphasis on LpLqL^p\to L^q estimates.

Keywords

Cite

@article{arxiv.2009.07366,
  title  = {Variation bounds for spherical averages},
  author = {David Beltran and Richard Oberlin and Luz Roncal and Andreas Seeger and Betsy Stovall},
  journal= {arXiv preprint arXiv:2009.07366},
  year   = {2021}
}

Comments

51 pages, 11 figures. Revised version incorporating referee's suggestions. To appear in Mathematische Annalen

R2 v1 2026-06-23T18:34:18.127Z