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math.AP2026
Riesz transform and its related inequalities for degenerate elliptic operators of Grushin type
Dangyang He
We study the boundedness of the Riesz transform and the reverse Riesz inequality for degenerate elliptic operators of Grushin type. We prove full-range boundedness of t…
math.AP2025
On the Riesz transform and its reverse inequality on manifolds with quadratically decaying curvature
Dangyang He
We study Riesz and reverse Riesz inequalities on manifolds whose Ricci curvature decays quadratically. First, we refine existing results on the boundedness of the Riesz transform b…