Lunardi Interpolation Theory

Third Auflage 2018
ISBN: 978-88-7642-638-4
Verlag: Edizioni della Normale
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 199 Seiten, eBook

Reihe: Lecture Notes (Scuola Normale Superiore)

This book is the third edition of the 1999 lecture notes of the courses on interpolation theory that the author delivered at the Scuola Normale in 1998 and 1999.

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 book 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.

Zielgruppe

Research

Autoren/Hrsg.

Lunardi, Alessandra

Inhaltsverzeichnis

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.

Über Autor(innen)

Alessandra Lunardi is a Full Professor at the Università di Parma in Italy.