B. Street

collaborators

5 papers

math.CA2026

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 $L^{p}$ norms of its gradient.

math.AP2026

Non-uniqueness for a differential equation and a proof by ChatGPT

Brian Street

Let $f (t, x), M (t, x) \in C ([0, 1]^{2})$ with $M (t, x) > 0$ . 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>…

math.AP2026

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 HÃ¶rmander vector fields, near a so-called non-characteristic point of the boundary. We prove…

math.AP2026

Hypoellipticity and Higher Order Gaussian Bounds

Brian Street

Let $(M, I ¨ , I^¼)$ be a metric measure space satisfying a doubling condition, $p_{0} \in (1, \infty)$ , and $T (t) : L^{p_{0}} (M, I^¼) \to L^{p_{0}} (M, I^¼)$ ,…

math.CA2025

Brian Street

Nagel, Stein, and Wainger introduced a detailed quantitative study of Carnot--CarathÃ©odory balls on a smooth manifold without boundary. Most importantly, they introduced scaling m…

Two weight estimates for difference quotients

Non-uniqueness for a differential equation and a proof by ChatGPT

Function spaces and trace theorems for maximally subelliptic boundary value problems

Hypoellipticity and Higher Order Gaussian Bounds

Carnot-CarathÃ©odory Balls on Manifolds with Boundary