Publisher's Synopsis
Interpolation Theory Function Spaces Differential Operators contains a systematic treatment in the following topics:<UL><LI>Interpolation theory in Banach spaces<LI>Theory of the Besov and (fractional) Sobolev spaces without and with weights in R<SUB>n</SUB>, R<SUP>+</SUP><SUB>n</SUB>, and in domains<LI>Theory of regular and degenerate elliptic differential operators<LI>Structure theory of special nuclear function spaces.</UL>It is the aim of the present book to treat these topics from the common point of view of interpolation theory. The second edition now presented contains major changes of formulations and proofs and, finally, an appendix, dealing with recent developments and related references. The book is written for graduate students and research mathematicians, interested in abstract functional analysis and its applications to function spaces and differential operators.