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

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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.

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