Theory of Besov Spaces

This is a self-contained textbook of the theory of Besov spaces and Triebel–Lizorkin spaces oriented toward applications to partial differential equations and problems of harmonic analysis. These include a priori estimates of elliptic differential equations, the T1 theorem, pseudo-differential operators, the generator of semi-group and spaces on domains, and the Kato problem.  Various function spaces are introduced to overcome the shortcomings of Besov spaces and Triebel–Lizorkin spaces as