Theory of Function Spaces (Modern Birkhäuser Classics) [9783034604154]

Overview

The book deals with the two scales B^s_p,q and F^s_p,q of spaces of distributions, where ‑∞<s<∞ and 0<p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space R_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.

The book, Theory of Function Spaces (Modern Birkhäuser Classics) [Bulk, Wholesale, Quantity] ISBN#9783034604154 in Paperback by Hans Triebel may be ordered in bulk quantities. Minimum starts at 25 copies. Availability based on publisher status and quantity being ordered.