Distribution Interpolation Spaces

This lecture covers the concept of distribution interpolation spaces, focusing on the convergence of sequences approximating functions, the derivatives of functions, and the classical derivative. It explores the convergence of derivatives in the domain (0,1) and the properties of functions in L^(I). The lecture also discusses weak derivatives, continuous representatives, and the relationship between weak and classical derivatives. Many applications related to minimization problems are presented, emphasizing the importance of understanding the convergence of sequences in different function spaces.