Modul

Selected Topics in Harmonic Analysis [M-MATH-104435]

Credits

Recurrence

Unregelmäßig

Duration

1 Semester

Language

Level

Version

Responsible

Prof. Dr. Dirk Hundertmark

Organisation

KIT-Fakultät für Mathematik

Part of

Economathematics (M.Sc.)

Bricks

Identifier	Name	LP
T-MATH-109065	Selected Topics in Harmonic Analysis	3

Competence Goal

The students are familiar with the concepts of singular integral operators and weighted estimates in Harmonic Analysis. They know the relations between the BMO space and the Muckenhoupt weights and also how to use dyadic analysis operators to obtain estimates for Calderon-Zygmund operators.

Prerequisites

None

Content

- Calderon-Zygmund and Singular Integral operators
- BMO space and Muckenhoupt weights
- Reverse Holder Inequality and Factorisation of Ap weights
- Extrapolation Theory and weighted norm inequalities for singular integral operators