Ebook: 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 = ∞.

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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 = ?.

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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 = ?.
Content:
Front Matter....Pages i-xi
Introduction....Pages 1-19
The Spaces $B_{p, q}^{s, tau }({mathbb{R}}^ n)$ and $F_{p, q}^{s, tau }({mathbb{R}}^ n)$ ....Pages 21-48
Almost Diagonal Operators and Atomic and Molecular Decompositions....Pages 49-64
Several Equivalent Characterizations....Pages 65-135
Pseudo-Differential Operators....Pages 137-146
Key Theorems....Pages 147-175
Inhomogeneous Besov-Hausdorff and Triebel-Lizorkin-Hausdorff Spaces....Pages 177-250
Homogeneous Spaces....Pages 251-269
Back Matter....Pages 271-288

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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 = ?.
Content:
Front Matter....Pages i-xi
Introduction....Pages 1-19
The Spaces $B_{p, q}^{s, tau }({mathbb{R}}^ n)$ and $F_{p, q}^{s, tau }({mathbb{R}}^ n)$ ....Pages 21-48
Almost Diagonal Operators and Atomic and Molecular Decompositions....Pages 49-64
Several Equivalent Characterizations....Pages 65-135
Pseudo-Differential Operators....Pages 137-146
Key Theorems....Pages 147-175
Inhomogeneous Besov-Hausdorff and Triebel-Lizorkin-Hausdorff Spaces....Pages 177-250
Homogeneous Spaces....Pages 251-269
Back Matter....Pages 271-288
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