Lectures in course MATH-502: Distribution and interpolation spaces

Covers the Meyers-Serrin theorem in analysis, discussing the conditions for functions in different spaces.

Explores interpolation spaces between Banach spaces and real interpolation spaces.

Explores interpolation spaces in Banach spaces, emphasizing real continuous interpolation spaces and the K-method.

Covers the Theoreus Chain Role for Lipschitz functions and its practical applications.

Covers distribution interpolation spaces, including the regularized flux and extension operators.

Covers fundamental matrix operations and their applications in solving linear equations.

Covers the embedding of spaces and the completeness of spaces, exploring the connection between interpolation theory and approximation theory.

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