Measure theory

Course Code :1000WETMAT
Study domain:Mathematics
Academic year:2017-2018
Semester:1st semester
Contact hours:45
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 1st semester
Lecturer(s)Ben Berckmoes

3. Course contents *

The following topics will be covered:

- The Lebesgue measure

- The Lebesgue integral

- The Vitali, Lebesgue, and Fatou convergence theorems

- The monotone convergence theorem

- Basic L^p theory

- The Hölder, Cauchy-Schwarz, Lyapunov, and Minkowski inequalities

- Fubini’s theorem

- Applications in probability theory: independence and conditional expecations