ABSTRACT

Until now, no book has systematically presented the recently developed concept of envelopes in function spaces. Envelopes are relatively simple tools for the study of classical and more complicated spaces, such as Besov and Triebel-Lizorkin types, in limiting situations. This theory originates from the classical result of the Sobolev embedding theo

chapter 1|8 pages

Introduction

chapter 2|28 pages

Preliminaries, classical function spaces

chapter 3|24 pages

The growth envelope function EG

chapter 4|12 pages

Growth envelopes EG

chapter 5|16 pages

The continuity envelope function EC

chapter 6|8 pages

Continuity envelopes EC

chapter 7|18 pages

Function spaces and embeddings

chapter 10|18 pages

Envelope functions EG and EC revisited

chapter 11|32 pages

Applications

chapter |12 pages

References

chapter |2 pages

Symbols

chapter |2 pages

Index

chapter |2 pages

List of Figures