English

Sparse bounds for pseudo-multipliers associated to Grushin operators, I

Analysis of PDEs 2023-06-02 v3 Classical Analysis and ODEs Functional Analysis

Abstract

In this article, we prove sharp quantitative weighted LpL^p-estimates for Grushin pseudo-multipliers satisfying H\"ormander's condition as an application of pointwise domination of Grushin pseudo-multipliers by appropriate sparse operators.

Keywords

Cite

@article{arxiv.2112.06634,
  title  = {Sparse bounds for pseudo-multipliers associated to Grushin operators, I},
  author = {Sayan Bagchi and Riju Basak and Rahul Garg and Abhishek Ghosh},
  journal= {arXiv preprint arXiv:2112.06634},
  year   = {2023}
}

Comments

Following valuable comments and suggestions of a journal reviewer, we have revised the presentation of the article. Results are same as in the previous version (v2)