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.

arXiv commentFollowing 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 (9)

• An elementary proof of the $A_2$ Bound
• A sparse domination principle for rough singular integrals
• Sharp weighted norm estimates beyond Calderón-Zygmund theory
• A pointwise estimate for positive dyadic shifts and some applications
• Sparse domination on non-homogeneous spaces with an application to $A_p$ weights
• A sharp multiplier theorem for Grushin operators in arbitrary dimensions
• Sparse Bounds for Bochner-Riesz Multipliers
• A robust approach to sharp multiplier theorems for Grushin operators
• 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