On the algebra of bounded holomorphic martingales

Hitoshi Arai

doi:10.1090/S0002-9939-1986-0845975-4

On the algebra of bounded holomorphic martingales

Hitoshi Arai^*

^*Corresponding author for this work

School of Education

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

3 Citations (Scopus)

Abstract

The properties of the algebra H∞ of bounded holomorphic martingales are further studied following the work of N. Th. Varopoulos [11]. The purpose of this paper is to discuss the behavior of weak* closed algebras B with H^∞⫋ B ⫋ L^∞and the support sets of H^∞-functions. We also give some results on the factorization theorem for H^∞and extreme points of the unit ball of H^∞.

Original language	English
Pages (from-to)	616-620
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	97
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1986-0845975-4
Publication status	Published - 1986 Aug

Keywords

Hardy spaces
Holomorphic martingales
Weak* Dirichlet algebras

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1986-0845975-4

Cite this

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AB - The properties of the algebra H∞ of bounded holomorphic martingales are further studied following the work of N. Th. Varopoulos [11]. The purpose of this paper is to discuss the behavior of weak* closed algebras B with H∞⫋ B ⫋ L∞and the support sets of H∞-functions. We also give some results on the factorization theorem for H∞and extreme points of the unit ball of H∞.

KW - Hardy spaces

KW - Holomorphic martingales

KW - Weak Dirichlet algebras

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On the algebra of bounded holomorphic martingales

Abstract

Keywords

ASJC Scopus subject areas

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