Lecture 11: Carleson measures

↓ Download ← All notes
Open the PDF → Opens in your phone's PDF viewer, where you can scroll and zoom. 329 KB ·October 2026

Measures on the upper half-space that charge a tent no more than its base, the Whitney decomposition extending the condition from cubes to open sets, and Carleson's theorem that this is exactly when $f \mapsto \Phi_t * f$ is bounded from $L^p(\mathbb{R}^d)$ into $L^p(\mu)$.

Harmonic Analysis · October 2026