Topic: L^p Spaces and the Basic Inequalities

Equality In Jensen’s Inequality

Equality Cases In Hölder’s Inequality

Definitions and Basic Examples of Lp Spaces

Convexity And Supporting Lines For Jensen’s Inequality

Computing Lp Norms of Simple Functions

Computing L∞ Norms

Computing Hölder Bounds

Choosing Between Hölder, Minkowski, And Jensen

Almost-Everywhere Equivalence in Lp