Welcome to MATP29 Specialised Course in Integration Theory, 7.5 credits

 General Information

MATM29 Specialised Course in Integration Theory is an optional course for a Master of Science degree in mathematics.

The material continues the development from the course 'MATM19 Integration Theory'' and covers the part sometimes called ''differentiation''. More precisely, it begins with Jordan and Hahn decompositions for signed measures, the Radon-Nykodim theorem and the Lebesgue decomposition, singular Lebesgue-Stieltjes measures and absolutely continuous functions and then the  course turns  the differentiation of functions and measures, the Hardy-Littlewood maximal function and the Hardy-Littlewood theorem about the maximal functions of $L^p$ functions.

Teaching
The teaching consists of lectures and seminars. Compulsory hand-in exercises may be given.

Assessment
The course is assessed through an oral examination, but the points can also be awarded based on presentations of parts of the above material.

Course literature
Donald L. Cohn, Measure Theory, 2nd ed, 2013, ISBN: 978-1-4614-6955-1.

Schedule
The schedule is available in the TimeEdit schedule tool. For instructions on how to use TimeEdit click here.
  
  
Syllabus_MATP29.pdfSyllabus_MATP29
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