MMfE - Lp Spaces of Functions (Lebsgue Spaces)

Online resources

• WolframAlpha
• Youtube
• Youtube

---

Def.: $L^p$ Spaces

A function $f(x)$ belongs to the $L^p(\mathbb{R})$ space (L : “Lebsgue” space) if:

$${\int }_{-\infty }^{+\infty }{\left|f(x)\right|}^{p}dx<\infty$$

where $x\in \mathbb{R}$ And we can write : $f(x)\in L^p(\mathbb{R})$

---