Theory of Function Spaces II

Hans Triebel (Autor)

Buch | Softcover

VIII, 372 Seiten

2010 | 1st ed. 1992. 2nd printing 2010
Springer Basel (Verlag)
9783034604185 (ISBN)

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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 Hölder-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.

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

The first chapter deserves special attention. This chapter is both an outstanding historical survey of function spaces treated in the book and a remarkable survey of rather different techniques developed in the last 50 years. It is shown that all these apparently different methods are only different ways of characterizing the same classes of functions. The book can be best recommended to researchers and advanced students working on functional analysis.Dorothee Haroske, Zentralblatt MATH, Vol. 1235, 2012

Erscheint lt. Verlag	18.8.2010
Reihe/Serie	Modern Birkhäuser Classics
Verlagsort	Basel
Sprache	englisch
Maße	155 x 235 mm
Gewicht	558 g
Themenwelt	Geisteswissenschaften
	Naturwissenschaften
	Sozialwissenschaften
Schlagworte	Function • function space • Funktion (Mathematik) • Hardcover, Softcover / Naturwissenschaften allgemein • Lie • Lie group • manifold • Operator • Oscillation • present • presentation • Pseudodifferential operator • pseudodifferential operators • Smooth function • Sobolev Space • Subject • Theorem
ISBN-13	9783034604185 / 9783034604185
Zustand	Neuware