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 /
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, Green functions, homogenization theory, Sobolev embeddings, and Coxeter groups
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| Format: | Book |
| Language: | English |
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Berlin ; New York :
Walter de Gruyter,
2002
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Table of Contents:
- Preface; Contents; Opening addressby Hans Wallin, Umeå University; Jaak Peetre, the man and his work; On the development of interpolation
- instead of ahistory three letters; Remarks on reproducing kernelsof some function spaces; An interesting class of operators with unusualSchatten-von Neumann behavior; Invariant symbolic calculi and eigenvalues ofinvariant operators on symmetric domains; Convex hulls of Coxeter groups*; On embedding properties of some extrapolationspaces *; Revisiting almost orthogonalityand eigenexpansions; Localization and extrapolationin Orlicz-Lorentz spaces
- Preface; Contents; Opening addressby Hans Wallin, Umeå University; Jaak Peetre, the man and his work; On the development of interpolation
- instead of ahistory three letters; Remarks on reproducing kernelsof some function spaces; An interesting class of operators with unusualSchatten-von Neumann behavior; Invariant symbolic calculi and eigenvalues ofinvariant operators on symmetric domains; Convex hulls of Coxeter groups*; On embedding properties of some extrapolationspaces *; Revisiting almost orthogonalityand eigenexpansions; Localization and extrapolationin Orlicz-Lorentz spaces
- Green functions for powers of theLaplace-Beltrami operatorSymmetric linear functionals on function spaces; Axiomatic Sobolev spaces on metric spaces; Interpolation of subspaces and the unit problem; On hierarchical structures and reiteratedhomogenization; Boundedness and compactness criteria for theone-dimensional Schrödinger operator; On Gaussian-summing identity maps betweenLorentz sequence spaces; On generalized fractional integrals on the weakOrlicz spaces, BMOf, the Morrey spacesand the Campanato spaces; Optimal Sobolev embeddings
- old and new
- Green functions for powers of theLaplace-Beltrami operatorSymmetric linear functionals on function spaces; Axiomatic Sobolev spaces on metric spaces; Interpolation of subspaces and the unit problem; On hierarchical structures and reiteratedhomogenization; Boundedness and compactness criteria for theone-dimensional Schrödinger operator; On Gaussian-summing identity maps betweenLorentz sequence spaces; On generalized fractional integrals on the weakOrlicz spaces, BMOf, the Morrey spacesand the Campanato spaces; Optimal Sobolev embeddings
- old and new
- Moduli of smoothness and the interrelationof some classes of functionsTowards a Gausslet analysis:Gaussian representations of functions; List of talks; List of participants