Function Spaces, Interpolation Theory and Related Topics

Proceedings of the International Conference in honour of Jaak Peetre on his 65th birthday. Lund, Sweden August 17-22, 2000
Nachdruck 2012
ISBN: 978-3-11-017117-4
Verlag: De Gruyter

Buch, Englisch, 462 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 980 g

Reihe: De Gruyter Proceedings in Mathematics

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.

Autoren/Hrsg.

Cwikel, Michael

Englis, Miroslav

Sparr, Gunnar

Kufner, Alois

Persson, Lars-Erik

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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

Über Autor(innen)

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.