Presents the topic at an elementary level, in contrast to most literature on the subject
Provides a clear and simple, rather than general, presentation of the principles of interpolation theory
This book contains the lecture notes of a basic course in interpolation theory. In the mathematical literature there are many good books on the subject, but none of them is very elementary, and in many cases the basic principles are hidden below great generality. In this second edition, the principles of interpolation theory are illustrated aiming at simplification rather than at generality. The abstract theory is reduced as far as possible, and many examples and applications are given, especially to operator theory and to regularity in partial differential equations. Moreover the treatment is self-contained, the only prerequisite being the knowledge of basic functional analysis.
1 Real interpolation.- 2 Complex interpolation.- 3 Interpolation and domains of operators.- 4 Powers of positive operators.- 5 Interpolation and semigroups.- 6 Analytic semigroups and interpolation.- Appendix: The Bochner integral.