Mathematical Institute of the University of Bonn

RG Analysis and Partial Differential Equations

V4B5: Real and Harmonic Analysis (winter term 2016/2017)

Prof. Dr. Christoph Thiele

Instructor

Dr. Pavel Zorin-Kranich

Assistant

Lectures:

• Tuesday, 12(c.t.) - 14, SR 0.008 (Endenicher Allee 60)
• Thursday, 12(c.t.) - 14, SR 0.008 (Endenicher Allee 60)

Exercise classes:

• Friday, 12 (c.t.) - 14, SR 0.011 (Endenicher Allee 60)

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, 2016-10-27.
2. Due on Thursday, 2016-11-03.
3. Due on Thursday, 2016-11-10.
4. Due on Thursday, 2016-11-17.
5. Due on Thursday, 2016-11-24.
6. Due on Thursday, 2016-12-01.
7. Due on Thursday, 2016-12-08.
8. Due on Thursday, 2016-12-15.
9. Due on Friday, 2016-12-23.
10. Due on Thursday, 2017-01-12.
11. Due on Thursday, 2017-01-19.
12. Due on Thursday, 2017-01-26.
13. Due on Thursday, 2017-02-09.

Lecture notes

Lectures 1-27, 2017-02-16