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Envelopes and Sharp Embeddings of Function Spaces (Paperback)
Loot Price: R1,950
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Envelopes and Sharp Embeddings of Function Spaces (Paperback)
Series: Chapman & Hall/CRC Research Notes in Mathematics Series
Expected to ship within 12 - 17 working days
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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 function spaces discussed in
the first part include Lebesgue, Lorentz, Lipschitz, and Sobolev.
The author defines growth and continuity envelopes and examines
their properties. In Part II, the book explores the results for
function spaces of Besov and Triebel-Lizorkin types. The author
then presents several applications of the results, including
Hardy-type inequalities, asymptotic estimates for entropy, and
approximation numbers of compact embeddings. As one of the key
researchers in this progressing field, the author offers a coherent
presentation of the recent developments in function spaces,
providing valuable information for graduate students and
researchers in functional analysis.
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