Measure theory

Course Code :1000WETMAT
Study domain:Mathematics
Academic year:2019-2020
Semester:1st semester
Sequentiality:Min 8/20 : Calculus, Lineair algebra en geometry AND Probability theory AND min 8/20 all courses Ba1 MATH
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)Werner Peeters
Wouter Van Den Haute

3. Course contents *

The following topics will be covered:

  • Measurable spaces
  • Measure spaces
  • De Borel sigma algebra and the Lebesgue measure on R^n
  • Measurable and elementary mappings
  • The Lebesgue integral
  • The spaces L^p(Omega,A,mu)
  • Convergence theorems
  • Equi-integrability
  • The Radon-Nikodym derivative
  • Product measures
  • Convolution of measures