### RG Analysis and Partial Differential Equations

## V4B5: Real and Harmonic Analysis (summer term 2019)

- Prof. Dr. Christoph Thiele
- Instructor
- João Ramos
- Assistant

#### Lectures:

- Tuesday, 2(c.t.) - 4, R 0.003 (Endenicher Allee 60)
- Thursday, 2(c.t.) - 4, R 1.008 (Endenicher Allee 60)

#### Exercise classes:

- Monday, 8 (c.t.) - 10, R 1.008 (Endenicher Allee 60)
- Wednesday, 5 - 6, R N 2.011 (Endenicher Allee 60) (office hour)

### References:

- E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals.
- E. M. Stein and R. Shakarchi, Functional analysis.
- C. Thiele and Y. Do, "Lp theory for outer measures and two themes of Lennart Carleson united", Bulletin AMS (N.S.) 52 (2015) 249-296
- Coifman, Jones, and Semmes, "Two Elementary Proofs of the L2 Boundedness of Cauchy Integrals on Lipschitz Curves".

### Homework

- Due on Thursday, 2019-04-11.
- Due on Thursday, 2019-04-18. (corrigendum: the function in Problem 1 is bounded)
- Due on Thursday, 2019-04-25.
- Due on Thursday, 2019-05-02.
- Due on Thursday, 2019-05-09.
- Due on Thursday, 2019-05-16.
- Due on Thursday, 2019-05-23. (no office hours on 22.05)(corrigendum: the function in Problem 2(b) is supposed to be continuous)
- Due on Thursday, 2019-05-30.
- Due on Thursday, 2019-06-06.
- Due on Thursday, 2019-06-20.
- Due on Thursday, 2019-06-27.
- Due on Thursday, 2019-07-04.
- Practice problem set.

### Old lecture notes

Lectures 2016/17, 2017-02-16

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