Mathematical Institute of the University of Bonn

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

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

Old lecture notes

Lectures 2016/17, 2017-02-16