| 摘要 | 第1-5页 |
| Abstract | 第5-8页 |
| 1 Preface | 第8-17页 |
| ·Multi-Commutators of Caldero′n-Zygmund Operators | 第8-11页 |
| ·Introduction of Calder′on-Zygmund Operator | 第8-9页 |
| ·More General Multi-Commutators of Caldero′n-Zygmund Operators | 第9-11页 |
| ·Multilinear Fractional Integral Operator | 第11-17页 |
| ·Multilinear Fractional and The Relevant Maximal Operators | 第11-13页 |
| ·Multilinear Fractional Integral Operator with Rough Kernel | 第13-14页 |
| ·Multilinear Fractional Integral Operator with Variable Kernel | 第14-17页 |
| 2 Weighted CMO Estimates for The Multi-Commutators of Calder′on-Zygmund Operators | 第17-35页 |
| ·Main results | 第17-19页 |
| ·Proofs of Theorem 2.1.1 and Corollary 2.1.2 | 第19-29页 |
| ·Proofs of Theorem 2.1.3 and Corollary 2.1.4 | 第29-35页 |
| 3 Estimates for Multilinear Fractional Integrals | 第35-64页 |
| ·Some Estimates for Multilinear Fractional and The Relevant Maximal Operators | 第35-49页 |
| ·Main results | 第35-37页 |
| ·Proof of Theorem 3.1.1 | 第37-40页 |
| ·Proof of Theorem 3.1.2 | 第40-43页 |
| ·Proofs of Theorem 3.1.3, Theorem 3.1.4 and Theorem 3.1.5 | 第43-49页 |
| ·Estimate for A Class of Multilinear Fractional Integral Operator Rough Kernel | 第49-56页 |
| ·Main result | 第49-50页 |
| ·Proof of Theorem 3.2.2 | 第50-56页 |
| ·Multilinear Fractional Operators with Variable Kernels | 第56-64页 |
| ·Main results | 第56-58页 |
| ·Proofs of Theorem 3.3.3 and Theorem 3.3.4 | 第58-61页 |
| ·Proofs of Theorem 3.3.5 | 第61-64页 |
| Bibliography | 第64-67页 |
| Academic Achievements and Awards | 第67-68页 |
| Acknowledgements | 第68页 |
