iv CONTENTS
Chapter 6. Preliminary Results of Analysis 55
6.1. Preliminary Inequalities 55
6.2. Basic
Lp
estimates 56
Chapter 7. Proof of Sufficiency 59
7.1. Statement of Sufficiency Theorem 59
7.2. Main Estimate for Low Rank Case 60
7.3. Proof of Theorem 7.1 62
Chapter 8. Necessity Theorem 71
8.1. Transitivity Rule for Dual Faces 71
8.2. Lemma for Necessity 75
8.3. Necessity Theorem 77
Chapter 9. Preliminary Lemmas for Necessity Proof 81
9.1. Exclusiveness of Odd Sets 81
9.2. Scheme of Necessity Proof 89
Chapter 10. Proof of Necessity 93
10.1. Proof of Lemma 9.2 93
10.2. Proof of Lemma 9.3 97
Chapter 11. Proofs of Corollary 3.1 and Main Theorem 3.1 103
11.1. Proof of Corollary 3.1 103
11.2. Proof of Sufficient Part of Main Theorem 3.1 105
11.3. Proof of Necessity Part of Main Theorem 3.1 108
Chapter 12. Appendix 113
Bibliography 119
Previous Page Next Page