Morrey and Campanato meet Besov, Lizorkin and Triebel / Wen Yuan, Winfried Sickel, Dachun Yang

Auteur principal : Yuan, Wen, AuteurCo-auteur : Sickel, Winfried, 1954-, Auteur • Yang, Dachun, 1963-, AuteurType de document : MonographieCollection : Lecture notes in mathematics, 2005Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, cop. 2010Description : 1 vol. (XI-281 p.) ; 24 cmISBN: 9783642146053.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 271-277. Index.Sujet MSC : 46-02, Research exposition (monographs, survey articles) pertaining to functional analysis
42B35, Harmonic analysis on Euclidean spaces, in several variables, Function spaces arising in harmonic analysis
46E35, Functional analysis - Linear function spaces and their duals, Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems
42B25, Harmonic analysis on Euclidean spaces, in several variables, Maximal functions, Littlewood-Paley theory
47G30, Operator theory, Pseudodifferential operators
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Bibliogr. p. 271-277. Index

During the last 60 years the theory of function spaces has been a subject of growing interest and increasing diversity. Based on three formally different developments, namely, the theory of Besov and Triebel-Lizorkin spaces, the theory of Morrey and Campanato spaces and the theory of Q spaces, the authors develop a unified framework for all of these spaces. As a byproduct, the authors provide a completion of the theory of Triebel-Lizorkin spaces when p = ∞. (Source : Springer)

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