Function Spaces, Interpolation Theory and Related Topics
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Edited by:
Michael Cwikel
, Miroslav Englis , Alois Kufner , Lars-Erik Persson and Gunnar Sparr
About this book
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.
Author / Editor information
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.
Reviews
"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
Topics
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Frontmatter
i -
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Contents
vii -
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Jaak Peetre, the man and his work
1 -
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On the development of interpolation – instead of a history three letters
39 -
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Remarks on reproducing kernels of some function spaces
49 -
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An interesting class of operators with unusual Schatten-von Neumann behavior
61 -
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Invariant symbolic calculi and eigenvalues of invariant operators on symmetric domains
151 -
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Convex hulls of Coxeter groups
213 -
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On embedding properties of some extrapolation spaces
241 -
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Revisiting almost orthogonality and eigenexpansions
249 -
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Localization and extrapolation in Orlicz-Lorentz spaces
273 -
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Green functions for powers of the Laplace-Beltrami operator
285 -
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Symmetric linear functionals on function spaces
311 -
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Axiomatic Sobolev spaces on metric spaces
333 -
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Interpolation of subspaces and the unit problem
345 -
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On hierarchical structures and reiterated homogenization
355 -
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Boundedness and compactness criteria for the one-dimensional Schrödinger operator
369 -
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On Gaussian-summing identity maps between Lorentz sequence spaces
383 -
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On generalized fractional integrals on the weak Orlicz spaces, BMOφ, the Morrey spaces and the Campanato spaces
389 -
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Optimal Sobolev embeddings – old and new
403 -
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Moduli of smoothness and the interrelation of some classes of functions
413 -
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Towards a Gausslet analysis: Gaussian representations of functions
425 -
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Backmatter
451
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