12 citations · 20 across the 16 of their papers we have counts for
16 papers · 1 filter
Two weight estimates for difference quotients
Carlos Perez, Andreas Seeger, Brian Street +1
We prove local and global two weight estimates in which we bound difference quotients of a function in terms of certain weighted norms of its gradient.
Carnot-Carathéodory Balls on Manifolds with Boundary
Brian Street
Nagel, Stein, and Wainger introduced a detailed quantitative study of Carnot--Carathéodory balls on a smooth manifold without boundary. Most importantly, they introduced scaling ma…
Improving the Regularity of Vector Fields
Brian Street, Liding Yao
Let , , and let be vector fields on a manifold which span the tangent space at every point, where $\m…
Endpoint Lebesgue estimates for weighted averages on polynomial curves
Michael Christ, Spyridon Dendrinos, Betsy Stovall +1
We establish optimal Lebesgue estimates for a class of generalized Radon transforms defined by averaging functions along polynomial-like curves. The presence of an essentially opti…
Singular integrals and a problem on mixing flows
Mahir Hadžić, Andreas Seeger, Charles K. Smart +1
We prove a result related to Bressan's mixing problem. We establish an inequality for the change of Bianchini semi-norms of characteristic functions under the flow generated by a d…
On a trilinear singular integral form with determinantal kernel
Philip Gressman, Danqing He, Vjekoslav Kovač +3
We study a trilinear singular integral form acting on two-dimensional functions and possessing invariances under arbitrary matrix dilations and linear modulations. One part of the…