### Abstract

The properties of the algebra H∞ of bounded holomorphic martingales are further studied following the work of N. Th. Varopoulos [11]. The purpose of this paper is to discuss the behavior of weak* closed algebras B with H^{∞}⫋ B ⫋ L^{∞}and the support sets of H^{∞}-functions. We also give some results on the factorization theorem for H^{∞}and extreme points of the unit ball of H^{∞}.

Original language | English |
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Pages (from-to) | 616-620 |

Number of pages | 5 |

Journal | Proceedings of the American Mathematical Society |

Volume | 97 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1986 Jan 1 |

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### Keywords

- Hardy spaces
- Holomorphic martingales
- Weak* Dirichlet algebras

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics