Lecture 9: Lebesgue Measurable Functions

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MIT 18.102 Introduction to Functional Analysis, Spring 2021
Instructor: Dr. Casey Rodriguez

Now that we know what the Lebesgue measure is, we begin exploring Lebesgue measurable functions and properties thereof. This allows us to define the notion of “almost everywhere”, a ubiquitous concept in integration.

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Комментарии
Автор

at time 44:38, c f(x) > alpha implies f(x) > alpha/c only if c>0. If c<0 it becomes f(x) < alpha/c

marcobaioletti
Автор

If f(x)=infty then x does not belong to the domain of f. ..What exactly does f(x)=infty mean? ..is x of acumulation ?.... is lim y->x f(y)=\infty?....

leinaddd