Schedule
Note: The schedule is subject to change. Check back for changes and updates
TOPICS BY LECTURE
| Wed, Sep 25: | Introduction, Approximate Identities (Notes) | |
| Fri, Sep 27: | Properties of th Fourier Transform (Notes) | |
| Mon, Sep 30: | The Dirichlet and Fejer kernels (Notes) | |
| Wed, Oct 2: | The Hardy-Littlewood Maximal Function (Notes) | |
| Fri, Oct 4: | Pointwise Convergence of Approximate Identities (Notes) | |
| Mon, Oct 7: | L^2 boundedness of the Hilbert Transform (Notes) | |
| Wed, Oct 9: | Weak-$L^1$ boundedness of the Hilbert Transform (Notes) | |
| Friday, Oct 11: | Calder\'on-Zygmund Operators (Notes) | |
| Mon, Oct 14: | Pointwise Convergence of the Hilbert Transform (Notes) | |
| Wed, Oct 16: | BMO Space and Bernstein's inequality (Notes) | |
| Fri, Oct 18: | Cotlar's Lemma (Notes) | |
| Mon, Oct 21: | Schur's Lemma and Amrein-Berthier (Notes) | |
| Wed, Oct 23: | Sobolev Embedding and Borel-Cantelli (Notes) | |
| Fri, Oct 25: | Sub-Gaussian bounds for Rademacher sequences (Notes) | |
| Mon, Oct 28: | Khinchine's Inequality (Notes) | |
| Wed, Oct 30: | Littlewood-Paley Theorem (Notes) | |
| Fri, Nov 1: | Introduction to the Haar System (Notes) | |
| Mon, Nov 4: | Dyadic BMO and the John-Nirenber Inequality (Notes) | |
| Wed, Nov 6: | Littlewood-Paley for the Dyadic Square Function (Notes) | |
| Fri, Nov 8: | H^1-BMO Duality (Notes) | |
| Mon, Nov 11: | Holiday | Holiday | Wed, Nov 13: | Atomic Decomposition of H^1 (Notes) |
| Fri, Nov 15: | Class Cancelled | Class Cancelled |
| Mon, Nov 18: | H^1 norms BMO and Carleson's condition (Notes) | |
| Wed, Nov 20: | Paraproducts (Notes) | |
| Fri, Nov 22: | The T(1) Theorem (Notes) | |
| Mon, Nov 25: | Proof of the T(1) Theorem (Notes) |