Abstract
In 1.11 we gave a historically minded description of function spaces of type \(F_{pq}^S \) and \(B_{pq}^S \) on Riemannian manifolds and Lie groups. Now we return to this subject in detail. But we shall not rely on what had been said in 1.11: as always in this book we use only the material presented from Chapter 2 onwards. On the other hand we shall not repeat those references which are not directly needed. This chapter has six sections, the first five deal with spaces on Riemannian manifolds, and only the last one with spaces on Lie groups. The reason will be clear: We convert a Lie group in an analytic Riemannian manifold and reduce via that way spaces on Lie groups to spaces on manifolds.
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© 1992 Birkhäuser Basel
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Triebel, H. (1992). Spaces on Riemannian Manifolds and Lie Groups. In: Theory of Function Spaces II. Modern Birkhäuser Classics. Springer, Basel. https://doi.org/10.1007/978-3-0346-0419-2_7
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DOI: https://doi.org/10.1007/978-3-0346-0419-2_7
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