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

Hitoshi Arai

doi:10.1090/S0002-9939-1986-0826495-X

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

Hitoshi Arai^*

^*Corresponding author for this work

School of Education

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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	https://doi.org/10.1090/S0002-9939-1986-0826495-X
Publication status	Published - 1986 Apr

Keywords

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

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1986-0826495-X

Cite this

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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.",

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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.

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KW - Corona Theorem

KW - Holomorphic Martingale

KW - Measure of Carleson Type

KW - Wolff's Theorem

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

Abstract

Keywords

ASJC Scopus subject areas

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