This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields. Topics covered include: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings, Coxeter groups, spectoral theory and wavelets.
Table of Contents:
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. Martín: 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. Engliš: 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 Schrödinger 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
About the Author :
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.
Review :
"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
