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

Abstract

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

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)

References in corpus (1)

• An optimal multiplier theorem for Grushin operators in the plane, II

Cited by in corpus (1)

• Sparse bounds for pseudo-multipliers associated to Grushin operators, II