### Abstract

N. Th. Varopoulos showed the existence of corona solutions for bounded holomorphic martingales (cf. [7]). In this paper we investigate measures of Carleson type on usual filtrated probability spaces and as its application we estimate the corona solutions by a probabilistic modification of Wolff's approach.

Original language | English |
---|---|

Pages (from-to) | 643-647 |

Number of pages | 5 |

Journal | Proceedings of the American Mathematical Society |

Volume | 96 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1986 Jan 1 |

### Fingerprint

### Keywords

- BMO-martingale
- Corona Theorem
- Holomorphic Martingale
- Measure of Carleson Type
- Wolff's Theorem

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**Measures of carleson type on filtrated probability spaces and the corona theorem on complex brownian spaces.** / Arai, Hitoshi.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Measures of carleson type on filtrated probability spaces and the corona theorem on complex brownian spaces

AU - Arai, Hitoshi

PY - 1986/1/1

Y1 - 1986/1/1

N2 - N. Th. Varopoulos showed the existence of corona solutions for bounded holomorphic martingales (cf. [7]). In this paper we investigate measures of Carleson type on usual filtrated probability spaces and as its application we estimate the corona solutions by a probabilistic modification of Wolff's approach.

AB - N. Th. Varopoulos showed the existence of corona solutions for bounded holomorphic martingales (cf. [7]). In this paper we investigate measures of Carleson type on usual filtrated probability spaces and as its application we estimate the corona solutions by a probabilistic modification of Wolff's approach.

KW - BMO-martingale

KW - Corona Theorem

KW - Holomorphic Martingale

KW - Measure of Carleson Type

KW - Wolff's Theorem

UR - http://www.scopus.com/inward/record.url?scp=84968465050&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84968465050&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1986-0826495-X

DO - 10.1090/S0002-9939-1986-0826495-X

M3 - Article

VL - 96

SP - 643

EP - 647

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 4

ER -