Function Spaces, Interpolation Theory and Related Topics (eBook)

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Michael Cwikel, Technion - Israel Institute of Technology, Haifa, Israel.

E. Engliš, Czech Academy of Science of Prague, Prague, Czech Republic.

Alois Kufner, Czech Academy of Science Prague, Prague, Czech Republic.

Lars-Erik Persson, Lulea University of Technology, Lulea, Sweden.

Gunnar Sparr, Lund University, Lund, Sweden.

Frontmatter 1
Contents 7
Jaak Peetre, the man and his work 11
On the development of interpolation – instead of a history three letters 49
Remarks on reproducing kernels of some function spaces 59
An interesting class of operators with unusual Schatten-von Neumann behavior 71
Invariant symbolic calculi and eigenvalues of invariant operators on symmetric domains 161
Convex hulls of Coxeter groups 223
On embedding properties of some extrapolation spaces 251
Revisiting almost orthogonality and eigenexpansions 259
Localization and extrapolation in Orlicz-Lorentz spaces 283
Green functions for powers of the Laplace-Beltrami operator 295
Symmetric linear functionals on function spaces 321
Axiomatic Sobolev spaces on metric spaces 343
Interpolation of subspaces and the unit problem 355
On hierarchical structures and reiterated homogenization 365
Boundedness and compactness criteria for the one-dimensional Schrödinger operator 379
On Gaussian-summing identity maps between Lorentz sequence spaces 393
On generalized fractional integrals on the weak Orlicz spaces, BMOf, the Morrey spaces and the Campanato spaces 399
Optimal Sobolev embeddings – old and new 413
Moduli of smoothness and the interrelation of some classes of functions 423
Towards a Gausslet analysis: Gaussian representations of functions 435
Backmatter 461

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"The editors of this book have done a very good job in collecting not only all the interesting facts about Jaak ("the man an his work"), but also about 20 high profile articles (I avoid the name-dropping) giving an idea of the various areas in which his work is substantial influence until now."
H. G. Feichtinger in: Internationale mathematische Nachrichten 198/2005