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This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields.
Topics covered: 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, spectral theory and wavelets.
The book will be of interest to both researchers and graduate students working in interpolation theory, function spaces and operators, partial differential equations and analysis on bounded symmetric domains.
List 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. 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 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.
Report
"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
