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Moduli of smoothness and the interrelation of some classes of functions
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S.Yu. Tikhonov
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Chapters in this book
- Frontmatter i
- Contents vii
- Jaak Peetre, the man and his work 1
- On the development of interpolation – instead of a history three letters 39
- Remarks on reproducing kernels of some function spaces 49
- An interesting class of operators with unusual Schatten-von 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
- Localization and extrapolation in Orlicz-Lorentz spaces 273
- Green functions for powers of the Laplace-Beltrami operator 285
- Symmetric linear functionals on function spaces 311
- 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 one-dimensional Schrödinger operator 369
- On Gaussian-summing 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
- Towards a Gausslet analysis: Gaussian representations of functions 425
- Backmatter 451
Chapters in this book
- Frontmatter i
- Contents vii
- Jaak Peetre, the man and his work 1
- On the development of interpolation – instead of a history three letters 39
- Remarks on reproducing kernels of some function spaces 49
- An interesting class of operators with unusual Schatten-von 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
- Localization and extrapolation in Orlicz-Lorentz spaces 273
- Green functions for powers of the Laplace-Beltrami operator 285
- Symmetric linear functionals on function spaces 311
- 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 one-dimensional Schrödinger operator 369
- On Gaussian-summing 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
- Towards a Gausslet analysis: Gaussian representations of functions 425
- Backmatter 451