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Measures of Carleson type on filtrated probability spaces and the corona theorem on complex Brownian spaces


Author: Hitoshi Arai
Journal: Proc. Amer. Math. Soc. 96 (1986), 643-647
MSC: Primary 60G44; Secondary 46J10, 60G46
DOI: https://doi.org/10.1090/S0002-9939-1986-0826495-X
MathSciNet review: 826495
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1986-0826495-X
Keywords: Measure of Carleson type, BMO-martingale, holomorphic martingale, Wolff's theorem, corona theorem
Article copyright: © Copyright 1986 American Mathematical Society