Optimal Sobolev embeddings – old and new

Kapitel in diesem Buch

1. Frontmatter i
2. Contents vii
3. Jaak Peetre, the man and his work 1
4. On the development of interpolation – instead of a history three letters 39
5. Remarks on reproducing kernels of some function spaces 49
6. An interesting class of operators with unusual Schatten-von Neumann behavior 61
7. Invariant symbolic calculi and eigenvalues of invariant operators on symmetric domains 151
8. Convex hulls of Coxeter groups 213
9. On embedding properties of some extrapolation spaces 241
10. Revisiting almost orthogonality and eigenexpansions 249
11. Localization and extrapolation in Orlicz-Lorentz spaces 273
12. Green functions for powers of the Laplace-Beltrami operator 285
13. Symmetric linear functionals on function spaces 311
14. Axiomatic Sobolev spaces on metric spaces 333
15. Interpolation of subspaces and the unit problem 345
16. On hierarchical structures and reiterated homogenization 355
17. Boundedness and compactness criteria for the one-dimensional Schrödinger operator 369
18. On Gaussian-summing identity maps between Lorentz sequence spaces 383
19. On generalized fractional integrals on the weak Orlicz spaces, BMOφ, the Morrey spaces and the Campanato spaces 389
20. Optimal Sobolev embeddings – old and new 403
21. Moduli of smoothness and the interrelation of some classes of functions 413
22. Towards a Gausslet analysis: Gaussian representations of functions 425
23. Backmatter 451