Measure Theory


Lebesgue measure on the real line. Measurable functions. Caratheodosy’s theorem and Borel measures. Lebesgue’s integral. Lebesgue’s convergence theorems. Comparison between Lebesgue and Riemann integrals. Abstract measure theory. Signed and complex measures. Product measures, Fubini theorem. L^p spaces.

Objectives

Not available

Prerequisites

Not available

Syllabus

• Abstract Measures. • The theorem of Caratheodory and Borel measures. • Lebesgue’s integral • Product measures • L^p Spaces. • Complex measures. • Some useful inequalities.

COURSE DETAILS

Level:

Type:

Postgraduate

(A-)

Instructors: Michalis Marias
Department: Mathematics
Institution: Aristotle University of Thessaloniki
Subject: Mathematics
Rights: CC - Attribution-ShareAlike

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