chapter I Definition, basic properties, and first examples -- chapter 1 Introduction -- chapter 2 Preliminaries, classical function spaces -- chapter 3 The growth envelope function EG -- chapter 4 Growth envelopes EG -- chapter 5 The continuity envelope function EC -- chapter 6 Continuity envelopes EC -- chapter II Results in function spaces, and applications -- chapter 7 Function spaces and embeddings -- chapter 8 Growth envelopes EG of function spaces Asp,q -- chapter 9 Continuity envelopes EC of function spaces Asp,q -- chapter 10 Envelope functions EG and EC revisited -- chapter 11 Applications -- chapter References -- chapter Symbols -- chapter Index -- chapter List of Figures.