Lectures related to Lp Spaces: Introduction

Explores embedding theorems in Sobolev spaces, including continuous and compact embedding, weak convergence, and Poincaré inequality.

Introduces Le spaces, measurable functions, Holder inequality, and LP space properties.

Explores the limit of the quotient for sequences and the periodicity of functions.

Covers functions, including even and odd functions, periodicity, and function operations.

Covers the proof of the existence of y and the resolution of EDOs with practical examples.

Explores the Fourier transformation on L^2, emphasizing convergence and density in Fourier analysis.

Explores the continuity of functions in R² and R³, emphasizing accumulation points and limits.

Explores embedding in function spaces, including elliptic equations, Hölder inequality, Lorentz space, and Hardy-Young inequality.