Riesz transforms associated with the Grushin operator with drift

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 $(p,p)$, $1<p<\infty$, and weak-type $(1,1)$ boundedness.

References in corpus (8)

• A sharp multiplier theorem for Grushin operators in arbitrary dimensions
• An optimal multiplier theorem for Grushin operators in the plane, I
• A robust approach to sharp multiplier theorems for Grushin operators
• An optimal multiplier theorem for Grushin operators in the plane, II
• Dimension free boundedness of Riesz transforms for the Grushin operator
• Sparse bounds for pseudo-multipliers associated to Grushin operators, II
• On some operator-valued Fourier pseudo-multipliers associated to Grushin operators
• Riesz transforms associated with the twisted Laplacian with drift