12 citations · 20 across the 16 of their papers we have counts for
27 papers
Higher-order Gaussian bounds for maximally subelliptic boundary value problems
Brian Street
We establish higher-order Gaussian upper bounds for the heat semigroups associated with a broad class of sectorial maximally subelliptic quadratic forms on manifolds with boundary.…
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.
Non-uniqueness for a differential equation
Brian Street
Let with . We consider differential equations of the form \[ \frac{\partial f}{\partial t}(t,x)=\frac{M(t,x)f(t,x)-M(t,0)f(t,0)}{x},\quad x>…
Function spaces and trace theorems for maximally subelliptic boundary value problems
Brian Street
We introduce Besov and Triebel--Lizorkin spaces on a manifold with boundary adapted to Hörmander vector fields, near a so-called non-characteristic point of the boundary. We prove…
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…
Hypoellipticity and Higher Order Gaussian Bounds
Brian Street
Let be a metric measure space satisfying a doubling condition, , and , $t\g…