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 theorem, ubiquitous in all areas of
functional analysis. Self-contained and accessible, Envelopes and Sharp
Embeddings of Function Spaces provides the first detailed account of the new
theory of growth and continuity envelopes in function spaces. The book is well
structured into two parts, first providing a comprehensive introduction and then
examining more advanced topics. Some of the classical