Almost everywhere convergence of Bochner-Riesz means on Heisenberg-type groups

Adam Horwich, Alessio Martini

Research output: Contribution to journalArticlepeer-review

97 Downloads (Pure)

Abstract

We prove an almost everywhere convergence result for Bochner–Riesz means of L p functions on Heisenberg‐type groups, yielding the existence of a p > 2 for which convergence holds for means of arbitrarily small order. The proof hinges on a reduction of weighted L 2 estimates for the maximal Bochner–Riesz operator to corresponding estimates for the non‐maximal operator, and a ‘dual Sobolev trace lemma’, whose proof is based on refined estimates for Jacobi polynomials.
Original languageEnglish
Pages (from-to)1066-1119
JournalJournal of the London Mathematical Society
Volume103
Issue number3
Early online date23 Nov 2020
DOIs
Publication statusPublished - 3 Apr 2021

Keywords

  • 22E30
  • 43A80 (primary)

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'Almost everywhere convergence of Bochner-Riesz means on Heisenberg-type groups'. Together they form a unique fingerprint.

Cite this