Koosis, Paul.
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 p. : il. ; 24 cm. — (Cambridge tracts in mathematics ; 115)
Incluye referencias bibliográficas (p. [279]-285) e índice.
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 $L_1/H_1(0)$.
ISBN 0521455219 (hardback)
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