Function Spaces, Interpolation Theory and Related Topics

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ISBN: 9783110171174 | 3110171171
Cover: Hardcover
Copyright: 9/1/2003

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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.

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Preface	p. v
Hans Wallin's opening address	p. ix
Jaak Peetre, the man and his work	p. 1
List of publications of Jaak Peetre	p. 23
On the development of interpolation--instead of a history three letters	p. 39
Remarks on reproducing kernels of some function spaces	p. 49
An interesting class of operators with unusual Schatten-von Neumann behavior	p. 61
Invariant symbolic calculi and eigenvalues of invariant operators on symmetric domains	p. 151
Convex hulls of Coxeter groups	p. 213
On embedding properties of some extrapolation spaces	p. 241
Revisiting almost orthogonality and eigenexpansions	p. 249
Localization and extrapolation in Orlicz-Lorentz spaces	p. 273
Green functions for powers of the Laplace-Beltrami operator	p. 285
Symmetric linear functionals on function spaces	p. 311
Axiomatic Sobolev spaces on metric spaces	p. 333
Interpolation of subspaces and the unit problem	p. 345
On hierarchical structures and reiterated homogenization	p. 355
Boundedness and compactness criteria for the one-dimensional Schrodinger operator	p. 369
On Gaussian-summing identity maps between Lorentz sequence spaces	p. 383
On generalized fractional integrals on the weak Orlicz spaces, BMO[subscript phi], the Morrey spaces and the Campanato spaces	p. 389
Optimal Sobolev embeddings--old and new	p. 403
Moduli of smoothness and the interrelation of some classes of functions	p. 413
Towards a Gausslet analysis: Gaussian representations of functions	p. 425
List of talks	p. 451
List of participants	p. 455
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Function Spaces, Interpolation Theory and Related Topics

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