## 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, 2000Michael Cwikel, Miroslav Englis, Alois Kufner, Lars-Erik Persson, Gunnar Sparr 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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### Contents

1 | |

39 | |

Remarks on reproducing kernels of some function spaces | 49 |

An interesting class of operators with unusual Schattenvon Neumann behavior | 61 |

Invariant symbolic calculi and eigenvalues of invariant operators on symmetric domains | 151 |

Convex hulls of Coxeter groups | 213 |

On embedding properties of some extrapolation spaces | 241 |

Revisiting almost orthogonality and eigenexpansions | 249 |

Axiomatic Sobolev spaces on metric spaces | 333 |

Interpolation of subspaces and the unit problem | 345 |

On hierarchical structures and reiterated homogenization | 355 |

Boundedness and compactness criteria for the onedimensional Schrödinger operator | 369 |

On Gaussiansumming identity maps between Lorentz sequence spaces | 383 |

On generalized fractional integrals on the weak Orlicz spaces BMOφ the Morrey spaces and the Campanato spaces | 389 |

Optimal Sobolev embeddings old and new | 403 |

Moduli of smoothness and the interrelation of some classes of functions | 413 |

Localization and extrapolation in OrliczLorentz spaces | 273 |

Green functions for powers of the LaplaceBeltrami operator | 285 |

Symmetric linear functionals on function spaces | 311 |

Gaussian representations of functions | 425 |

Backmatter | 451 |

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### Common terms and phrases

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