Function Spaces, Interpolation Theory and Related Topics

"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

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

Preface * Hans Wallin's opening address Jaak Peetre: Life and work * J. Peetre: On the development of interpolation - instead of history three letters * J.-L. Lions: Remarks on reproducing kernels of some function spaces * A.B. Aleksandrov, S. Janson, V.V. Peller, R. Rochberg: An interesting class of operators with unusual Schatten-von Neumann behavior * J. Arazy, H. Upmeier: Invariant symbolic calculi and eigenvalues of invariant operators on symmetric domains * J. Brandman, J. Fowler, B. Lins, I. Spitkovsky, N. Zobin: Convex hulls of Coxeter groups * M.J. Carro, J. Martin: On embedding properties of some extrapolation spaces * M. Cotlar, C. Sadosky: Revisiting almost orthogonality and eigenexpansions * D. Cruz-Uribe, M. Krbec: Localization and extrapolation in Lorentz-Orlicz spaces * M. Englis: Green functions for powers of the Laplace-Beltrami operator * T. Figiel, N. Kalton: Symmetric linear functionals on function spaces * V. Gol'dshtein, M. Troyanov: Axiomatic Sobolev spaces on metric spaces * D. Lukkassen, G.W. Milton: On hierarchical structures and reiterated homogenization * V.G. Maz'ya, I.E. Verbitsky: Boundedness and compactness criteria for the one-dimensional Schroedinger operator *C. Michels: On Gaussian-summing identity maps between Lorentz sequence spaces * E. Nakai: On generalized fractional integrals on the weak Orlicz spaces, BMOf, the Morrey spaces and the Campanato spaces * L. Pick: Optimal Sobolev embeddings - old and new * S.Y. Tikhonov: Moduli of smoothness and the interrelation of some classes of functions *H. Triebel: Towards a Gausslet analysis: Gaussian representations of functions List of talks * List of participants