The book deals with the two scales B^s_p,q and F^s_p,q of spaces of distributions, where - n in the framework of Fourier analysis, which is based on the technique of maximal functions, Fourier multipliers and interpolation assertions. These topics are treated in Chapter 2, which is the heart of the book. Chapter 3 deals with corresponding spaces on smooth bounded domains in R_n. These results are applied in Chapter 4 in order to study general boundary value problems for regular elliptic differential operators in the above spaces. Shorter Chapters (1 and 5-10) are concerned with: Entire analytic functions, ultra-distributions, weighted spaces, periodic spaces, degenerate elliptic differential equations.
Reviews

From the reviews:

"There is good reason to think of this book as Volume 1 in a series of (by now) celebrated books on the theory of function spaces treated in a systematic way. It turned out that for many beginners in this part of harmonic analysis this book is still the natural choice to start with. ... this book can still be recommended for people who start their work in function spaces of rather general type and who have some working knowledge in functional analysis ... ." (Dorothee Haroske, Zentralblatt MATH, Vol. 1235, 2012)

Book Information
ISBN 9783034604154
Author Hans Triebel
Format Paperback
Page Count 281
Imprint Birkhauser Verlag AG
Publisher Birkhauser Verlag AG