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 of 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 7 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.
From the reviews:
"It is the second volume in a ... series of monographs written by Hans Triebel on this topic. ... the author introduces different approaches and explains their historic background and motivation in view of applications in a very clear and comprehensible way. ... can be recommended as a starting point for scientists who begin to work in this area or just as a brief overview to grasp the key ideas of the theory ... ." (Dorothee Haroske, Zentralblatt MATH, Vol. 1235, 2012)
How To Measure Smoothness.- The Spaces and :Definit.- Atoms, Oscillations, and Distinguished Representations.- Key Theorems.- Spaces on Domains.- Mapping Properties of Pseudodifferential Operators.- Spaces on Riemannian Manifolds and Lie Groups.
Series: Monographs in Mathematics
Number Of Pages: 372
Published: 2nd April 1992
Publisher: Birkhauser Verlag AG
Country of Publication: CH
Dimensions (cm): 25.4 x 17.8
Weight (kg): 1.57