Measure Spaces: Integration and Inequalities

In course

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Description

This lecture covers measure spaces, integration on general measure spaces, absolute continuity, Radon-Nikodym property, and inequalities such as Jensen, Hölder, and Minkowski. It also discusses LP spaces for general exponents and the completeness of LP spaces. The lecture concludes with the proof of completeness of LP spaces and the construction of a Banach space. The content is presented through the analysis of text extracted from lecture slides.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_rgt6prh7

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Ontological neighbourhood

Mathematics

Analysis: Measure theory, Functional analysis

Algebra: Abstract algebra

Mathematical logic: Set theory

Logic

Classical logic: First-order logic

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