The new edition of this well known book remains a clear and accessible exposition of the basic theory of Hardy spaces. The coverage has been extended with the inclusion of two appendices; in addition numerous amendments, additions and corrections have been made throughout.
Inhaltsverzeichnis
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.
Klappentext
This edition has two new appendices by V. P. Havin plus numerous improvements, additions and corrections throughout.rn
