Function Spaces, 1. Tl.1

This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Old?ich John, and Svatopluk Fu?ík. Like the first edition this monograph is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook forthose who use function spaces to study other topics such as partial differential equations. Volume 1 deals with Banach function spaces, Volume 2 with Sobolev-type spaces.