Introduction to H[p] spaces
Introduction to H[p] spaces
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DOI：
10.1017/cbo9780511470950.005
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发表时间：
1999-01
期刊：
影响因子：
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通讯作者：
P. Koosis
中科院分区：
文献类型：
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作者：
P. Koosis
前言第一版前言1.基础2.雷兹兄弟的定理。H1空间简介3.解析函数的初等边界性态理论4.Jensen公式的应用因式分解为内外函数的乘积5.调和共轭的范数不等式6.上半平面上的HP空间7.HP空间的对偶性8.Hardy-Littlewood极大函数的应用9.插值10.有界平均振荡函数11.Wolff对日冕定理的证明附录I.Jones插值公式附录II.空间L1/H1(0)的弱完备性文献索引.
Preface Preface to the first edition 1. Rudiments 2. Theorem of the brothers Reisz. Introduction to the space H1 3. Elementary boundary behaviour theory for analytic functions 4. Application of Jensen's formula. Factorisation into a product of inner and outer functions 5. Norm inequalities for harmonic conjugation 6. Hp spaces for the upper half plane 7. Duality for Hp spaces 8. Application of the Hardy-Littlewood maximal function 9. Interpolation 10. Functions of bounded mean oscillation 11. Wolff's proof of the Corona theorem Appendix I. Jones' interpolation formula Appendix II. Weak completeness of the space L1/H1(0) Bibliography Index.