New Progress on Herz type Spaces Herz型空间的新进展

目录

英文文摘

Acknowledgements

Chapter 1 A Characterization of Herz type Besov and Triebel Spaces

1.1 Introduction

1.2 Some lemmas

1.3 Proof of Theorem 1

1.4 Morrey type Besov and Triebel spaces

Chapter 2 Some Basic Properties of Herz-type Besov Spaces

2.1 Preliminaries

2.2 Basic properties

2.2.1 Embedding properties

2.2.2 Maximal inequalities

2.2.3 A Fourier multiplier theorem

2.2.4 Lifting properties and related equivalent quasi-norms

Chapter 3 Applications of Herz-type Besov Spaces

3.1 Introduction

3.2 Pointwise Multipliers

3.3 Boundedness of Pseudo-differential Operators

Chapter 4 A Discrete Characterization of Herz-type Besov Spaces and its Appli-cations

4.1 Introduction

4.2 The discrete characterization

4.3 Boundedness of pseudo-differential operators

Chapter 5 Oscillatory Singular Integrals on Herz-type Spaces

5.1 Introduction

5.2 Preliminary Definitions and Results

5.3 Proofs of Theorems 12 and 13

References

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