Theory of Besov Spaces

Yoshihiro Sawano is a professor in Tokyo Metropolitan University.

• An introduction to Besov spaces.- Fundamental facts of harmonic analysis.- Besov space, TriebelLizorkinspaces.- Relation with other function spaces.- Theory of decomposition and its applications.- Applications to partial differential equations and the T1 theorem.

“This monograph is an impressive piece of work dealing with a complicated and deep subject, Besov spaces, which surely enjoys less popularity than it deserves. … the monograph can really be recommended as a very good, elaborate and up-to-date compendium on Besov spaces, in particular for scientists who have some experience and sound knowledge working in the field of function spaces.” (Dorothee D. Haroske, Mathematical Reviews, June, 2020)“This voluminous book provides an exhaustive and self-contained treatment of several spaces related to Besov spaces. The useful applications of Besov spaces and Triebel-Lizorkin spaces to partial differential equations allow the reader to examine in detail many properties of the solutions of the equations.” (Maria Alessandra Ragusa, zbMATH 1414.46004, 2019)