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.
Yoshihiro Sawano is a professor in Tokyo Metropolitan University.
"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)
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