Morrey and Campanato Meet Besov, Lizorkin and Triebel

• Main Authors: Yuan, Wen. (Author), Sickel, Winfried. (Author), Yang, Dachun. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 2005
• Subjects: Mathematics.; Fourier analysis.; Functional analysis.; Operator theory.; Fourier Analysis.; Functional Analysis.; Operator Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-14606-0

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 a...

Table of Contents:

• 1 Introduction
• 2 The Spaces Bs,♯p,q(Rn) and Fs,♯p,q(Rn)
• 3 Almost Diagonal Operators and Atomic and Molecular Decompositions
• 4 Several Equivalent Characterizations
• 5 Pseudo-differential Operators
• 6 Key Theorems
• 7 Inhomogeneous Besov-Hausdorff and Triebel-Lizorkin-Hausdorff Spaces
• 8 Homogeneous Spaces.