Morrey and Campanato Meet Besov, Lizorkin and Triebel (Lecture Notes in Mathematics, Band 2005) - edizione con copertina flessibile

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 = ¿. TOC: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.