Introduction to $H_p$ spaces /
Guardado en:
| Autor Principal: | |
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| Formato: | Libro |
| Idioma: | English |
| Publicado: |
Cambridge :
Cambridge University Press,
1998.
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| Edición: | 2nd ed., corr. and augm. / |
| Series: | Cambridge tracts in mathematics ;
115 |
| Materias: | |
| Acceso en línea: | Publisher description |
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Tabla de Contenidos:
- 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 $L_1/H_1(0)$.