E-book
Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals [electronic resource] / by Sergey Kislyakov, Natan Kruglyak.
Record details
- ISBN: 9783034804691
- Physical Description: X, 316 p. 11 illus., 8 illus. in color. online resource.
- Publisher: Basel : Springer Basel : 2013.
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| Subject: | Mathematics. Functional analysis. Mathematics. Real Functions. Approximations and Expansions. Functional Analysis. |
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Electronic resources
Preface | ||
| Introduction | ||
| Definitions, notation, and some standard facts | ||
| Part 1. Background | ||
| Chapter 1. Classical CalderónâZygmund decomposition and real interpolation | ||
| Chapter 2. Singular integrals | ||
| Chapter 3. Classical covering theorems | ||
| Chapter 4. Spaces of smooth functions and operators on them | ||
| Chapter 5. Some topics in interpolation | ||
| Chapter 6. Regularization for Banach spaces | ||
| Chapter 7. Stability for analytic Hardy spaces | ||
| Part 2. Advanced theory | ||
| Chapter 8. Controlled coverings | ||
| Chapter 9. Construction of near-minimizers | ||
| Chapter 10. Stability of near-minimizers | ||
| Chapter 11. The omitted case of a limit exponent | ||
| Chapter A. Appendix. Near-minimizers for Brudnyi and TriebelâLizorkin spaces | ||
| Notes and remarks | ||
| Bibliography | ||
| Index.. |
