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

Jaak Peetre, E. Englis, Alois Kufner, Lars-Erik Persson, Gunnar Sparr, Michael Cwikel9783110171174, 3110171171

This book contains the proceedings of an August 2000 conference held in honor of one of the founders of the theory of interpolation spaces. Contributions cover a range of topics both from interpolation theory and from other fields where Jaak Peetre’s ideas have had an impact, including the theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, and special functions. The book opens with biographical material and a list of Peetre’s publications, followed by his paper on the birth of the theory of interpolation, plus a paper from the late co-founder of this theory.

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Table of contents :
Preface……Page 6
Contents……Page 8
Opening address by Hans Wallin, Umeå University……Page 10
Jaak Peetre, the man and his work……Page 12
On the development of interpolation – instead of a history three letters……Page 50
Remarks on reproducing kernels of some function spaces……Page 60
Remarks on reproducing kernels of some function spaces……Page 72
Invariant symbolic calculi and eigenvalues of invariant operators on symmetric domains……Page 162
Convex hulls of Coxeter groups……Page 224
On embedding properties of some extrapolation spaces……Page 252
Revisiting almost orthogonality and eigenexpansions……Page 259
Localization and extrapolationin Orlicz–Lorentz spaces……Page 284
Green functions for powers of the Laplace–Beltrami operator……Page 296
Symmetric linear functionals on function spaces……Page 322
Axiomatic Sobolev spaces on metric spaces……Page 344
Interpolation of subspaces and the unit problem……Page 356
On hierarchical structures and reiterated homogenization……Page 366
Boundedness and compactness criteria for the one-dimensional Schrödinger operator……Page 380
On Gaussian-summing identity maps between Lorentz sequence spaces……Page 394
On generalized fractional integrals on the weak Orlicz spaces, BMOφ, the Morrey spaces and the Campanato spaces……Page 400
Optimal Sobolev embeddings – old and new……Page 414
Moduli of smoothness and the interrelation of some classes of functions……Page 424
Towards a Gausslet analysis: Gaussian representations of functions……Page 436
List of talks……Page 462
List of participants……Page 466