English

Riesz transforms associated with the Grushin operator with drift

Analysis of PDEs 2026-03-17 v1 Classical Analysis and ODEs Functional Analysis

Abstract

We consider the Grushin operator with drift which is symmetric with respect to a measure having exponential growth. For the corresponding Riesz transforms, we study strong-type (p,p)(p, p), 1<p<1 < p < \infty, and weak-type (1,1)(1, 1) boundedness.

Cite

@article{arxiv.2603.15316,
  title  = {Riesz transforms associated with the Grushin operator with drift},
  author = {Nishta Garg and Rahul Garg},
  journal= {arXiv preprint arXiv:2603.15316},
  year   = {2026}
}
R2 v1 2026-07-01T11:22:20.510Z