Morrey and Campanato Meet Besov, Lizorkin and Triebel

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 = ?. A newgeneral framework unifying Besov-Triebel-Lizorkin spaces, Morrey spaces, Campanato spaces and Q spaces is established In the key theorems characterizationsby atoms, molecules, wavelets, differences and oscillations are given Specialcases of these new scales (namely Besov-Triebel-Lizorkin spaces built on Morrey spaces) have been shown to be useful in the study of Navier-Stokes equations INDICE: 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.

• ISBN: 978-3-642-14605-3
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 272
• Fecha Publicación: 01/10/2010
• Nº Volúmenes: 1
• Idioma: Inglés