Riesz transform under perturbations via heat kernel regularity

Renjin Jiang, Fanghua Lin

Research output: Contribution to journalArticlepeer-review


Let M be a complete non-compact Riemannian manifold. In this paper, we derive sufficient conditions on metric perturbation for stability of Lp-boundedness of the Riesz transform, p∈(2,∞). We also provide counter-examples regarding in-stability for Lp-boundedness of Riesz transform.

Original languageEnglish (US)
Pages (from-to)39-65
Number of pages27
JournalJournal des Mathematiques Pures et Appliquees
StatePublished - Jan 2020


  • Harmonic functions
  • Heat kernels
  • Perturbation
  • Riesz transform

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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