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| Preface | ||
| Ch. 1 | How To Measure Smoothness | |
| 1.1 | Introduction | 1 |
| 1.2 | Derivatives and differences of functions | 2 |
| 1.3 | The spectral approach | 9 |
| 1.4 | Hardy spaces | 20 |
| 1.5 | The Fourier-analytical approach | 27 |
| 1.6 | Interpolation methods | 36 |
| 1.7 | Local approximation spaces | 46 |
| 1.8 | Local means, traces of harmonic and thermic functions | 52 |
| 1.9 | A new device: Atoms as building blocks | 59 |
| 1.10 | Spaces on domains | 68 |
| 1.11 | Spaces on Riemannian manifolds and Lie groups | 75 |
| 1.12 | Epilogue | 85 |
| Ch. 2 | The Spaces [actual symbols not reproducible]: Definitions and Characterizations | 87 |
| 2.1 | Introduction | 87 |
| 2.2 | Prerequisites | 87 |
| 2.3 | Definitions and basic properties | 92 |
| 2.4 | General characterizations for [actual symbols not reproducible] | 100 |
| 2.5 | General characterizations for [actual symbols not reproducible] | 131 |
| 2.6 | Concrete characterizations | 139 |
| Ch. 3 | Atoms, Oscillations, and Distinguished Representations | 159 |
| 3.1 | Introduction | 159 |
| 3.2 | Atomic decompositions of [actual symbols not reproducible] | 160 |
| 3.3 | Distinguished representations | 173 |
| 3.4 | Oscillations | 179 |
| 3.5 | Characterizations via oscillations and differences | 186 |
| Ch. 4 | Key Theorems | 199 |
| 4.1 | Introduction | 199 |
| 4.2 | Pointwise multipliers | 201 |
| 4.3 | Diffeomorphisms | 206 |
| 4.4 | Traces | 212 |
| 4.5 | Spaces on [actual symbols not reproducible] extensions | 221 |
| Ch. 5 | Spaces on Domains | 237 |
| 5.1 | Preliminaries | 237 |
| 5.2 | Intrinsic characterizations | 240 |
| 5.3 | Morrey-Campanato spaces, the spaces [actual symbols not reproducible] | 246 |
| 5.4 | Further problems | 252 |
| Ch. 6 | Mapping Properties of Pseudodifferential Operators | 255 |
| 6.1 | Introduction | 255 |
| 6.2 | An approach via local means | 256 |
| 6.3 | An approach via atoms | 261 |
| Ch. 7 | Spaces on Riemannian Manifolds and Lie Groups | 281 |
| 7.1 | Introduction | 281 |
| 7.2 | The spaces [actual symbols not reproducible] on manifolds | 281 |
| 7.3 | The spaces [actual symbols not reproducible] on manifolds | 308 |
| 7.4 | Further properties of the spaces [actual symbols not reproducible] on manifolds | 313 |
| 7.5 | Characterizations of spaces on manifolds via differences and derivatives | 325 |
| 7.6 | Spaces on Lie groups | 337 |
| References | 347 | |
| Symbols | 367 | |
| Index | 369 |
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| $99.99 | Digital |
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Add Theory of Function Spaces II, Theory of Function Spaces II deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales of spaces cover many well-known function spaces such as Hölder-Zygmund spaces, (fractional) Sobolev spaces, Besov spa, Theory of Function Spaces II to the inventory that you are selling on WonderClubX
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Add Theory of Function Spaces II, Theory of Function Spaces II deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales of spaces cover many well-known function spaces such as Hölder-Zygmund spaces, (fractional) Sobolev spaces, Besov spa, Theory of Function Spaces II to your collection on WonderClub |