"Theory of Function Spaces II" deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales os spaces cover many well-known function spaces such as H?lder-Zygmund spaces, (fractional) Sobolev spaces, Besov spaces, inhomogeneous Hardy spaces, spaces of BMO-type and local approximation spaces which are closely connected with Morrey-Campanato spaces. "Theory of Function Spaces II" is self-contained, although it may be considered an update of the author's earlier book of the same title. The book's seven chapters start with a historical survey of the subject, and then analyze the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds.