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

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    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 languageEnglish
    Pages (from-to)643-647
    Number of pages5
    JournalProceedings of the American Mathematical Society
    Volume96
    Issue number4
    DOIs
    Publication statusPublished - 1986 Jan 1

    Fingerprint

    Corona Theorem
    Corona
    Probability Space
    Martingale
    Estimate

    Keywords

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

    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics

    Cite this

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    title = "Measures of carleson type on filtrated probability spaces and the corona theorem on complex brownian spaces",
    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.",
    keywords = "BMO-martingale, Corona Theorem, Holomorphic Martingale, Measure of Carleson Type, Wolff's Theorem",
    author = "Hitoshi Arai",
    year = "1986",
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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 - Wolff's Theorem

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