## Sparse operators and the sparse T1 Theorem

Series:
Analysis Seminar
Wednesday, March 8, 2017 - 14:05
1 hour (actually 50 minutes)
Location:
Skiles 005
,
Georgia Tech
Organizer:
We impose standard $T1$-type assumptions on a Calderón-Zygmund operator $T$, and deduce that for bounded compactly supported functions $f,g$ there is a sparse bilinear form $\Lambda$ so that $$|\langle T f, g \rangle | \lesssim \Lambda (f,g).$$ The proof is short and elementary. The sparse bound quickly implies all the standard mapping properties of a Calderón-Zygmund on a (weighted) $L^p$ space.