Abstract
In Chapters 2 and 3 we developed the technical instruments of the theory of the spaces \(F^s _{pq} \) and \(B^s _{pq} \) providing the basis for what follows. Although not a major theme of this book, we are looking at function spaces from the point of view of applications, say, to partial differential equations. Whether a function space defined on \({\mathbb{R}}^n\) , \({\mathbb{R}}_+^n\), or on bounded domains in \({\mathbb{R}}^n\) is of some use for these purposes depends on its properties. In the last 15 years or so, just those properties of the spaces \(F^s _{pq} \) and \(B^s _{pq} \) have been studied extensively which are of interest in this context. All crucial problems are solved now and most of them are studied extensively in [Triß].
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© 1992 Birkhäuser Basel
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Triebel, H. (1992). Key Theorems. In: Theory of Function Spaces II. Modern Birkhäuser Classics. Springer, Basel. https://doi.org/10.1007/978-3-0346-0419-2_4
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DOI: https://doi.org/10.1007/978-3-0346-0419-2_4
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