Math 420/507
Real Analysis I/Measure Theory and Integration
Course Outline

Department of Mathematics University of British Columbia


Prerequisites: A score of 68% or higher in MATH 321.


Instructor

Joel Feldman

 E-mail     feldman@math.ubc.ca 
 Office   Math 221
 Phone   604-822-5660
 Home page   http://www.math.ubc.ca/~feldman/
 Office hours   Mon 14:00-15:00, Tues 11:00-12:00, Thurs 14:00-15:00 or by appointment
 Location of lectures   TBA
 Time of lectures   Mon, Wed, Fri 9:00-10:00

Text

I will post all handouts, problem sets, etc. on the web here.


Other References


Topics

  1. Measures (§1):
        Sigma-algebras, measures
        Borel and Lebesgue measures
  2. Integration (§2):
        Measurable functions, integration
        Convergence, product measures
  3. Differentiation (§3):
        Signed measures, Lebesgue-Radon-Nikodym Theorem
  4. Lp Spaces (§6):
        Lp Spaces, Holder and Minkowski inequalities
        Dual spaces

Grading


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