401-2284-00L  Measure and Integration

SemesterSpring Semester 2016
LecturersF. Da Lio
Periodicityyearly recurring course
Language of instructionEnglish (lecture), German (exercise)


AbstractIntroduction to abstract measure and integration theory, including the following topics: Caratheodory extension theorem, Lebesgue measure, convergence theorems, L^p-spaces, Radon-Nikodym theorem, product measures and Fubini's theorem, measures on topological spaces
ObjectiveBasic acquaintance with the abstract theory of measure and integration
ContentIntroduction to abstract measure and integration theory, including the following topics: Caratheodory extension theorem, Lebesgue measure, convergence theorems, L^p-spaces, Radon-Nikodym theorem, product measures and Fubini's theorem, measures on topological spaces
Lecture notesThe Professor will put online her Lectures.
She will essentially follow the Lecture Notes by Michael Struwe.
Literature1. Lecture Notes by Michael Struwe:
Link
2. Evans-Gariepy: Measure theory and fine properties of functions, CRC Press,Link
3. Extra material: P. Cannarsa & T. D'Aprile, "Lecture Notes on Measure Theory and Functional Analysis", Link
Prerequisites / NoticeThe precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material.