English

Sharp $l^p$-improving estimates for the discrete paraboloid

Classical Analysis and ODEs 2020-02-28 v1

Abstract

We prove lpl^p-improving estimates for the averaging operator along the discrete paraboloid in the sharp range of pp in all dimensions n2n\ge 2.

Keywords

Cite

@article{arxiv.2002.11758,
  title  = {Sharp $l^p$-improving estimates for the discrete paraboloid},
  author = {Shival Dasu and Ciprian Demeter and Bartosz Langowski},
  journal= {arXiv preprint arXiv:2002.11758},
  year   = {2020}
}
R2 v1 2026-06-23T13:55:12.198Z