Introduction to $H_p$ spaces
Paul Koosis.
2nd ed., corr. and augm. / with two appendices by V. P. Havin.
Cambridge : Cambridge University Press, 1998.
xiv, 287 págs. : ilustraciones ; 24 cm.
Serie: Cambridge tracts in mathematics ; 115
ISBN: 0521455219 (hardback)
Incluye referencias bibliográficas (p. [279]-285) e índice.
Reseña: MathSciNet, 2000b:30052
Contenido
- 1. Functions harmonic in $|z| < 1$. Rudiments
- 2. Theorem of the brothers Riesz. Introduction to the space $H_1$
- 3. Elementary boundary behaviour theory for analytic functions
- 4. Application of Jensen's formula. Factorization into a product of inner and outer functions
- 5. Norm inequalities for harmonic conjugation
- 6. $H_p$ spaces for the upper half plane
- 7. Duality for $H_p$ 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 $L_1/H_1(0)$.