TY - JOUR
T1 - On the algebra of bounded holomorphic martingales
AU - Arai, Hitoshi
PY - 1986/1/1
Y1 - 1986/1/1
N2 - 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∞.
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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U2 - 10.1090/S0002-9939-1986-0845975-4
DO - 10.1090/S0002-9939-1986-0845975-4
M3 - Article
AN - SCOPUS:84933771020
SN - 0002-9939
VL - 97
SP - 616
EP - 620
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 4
ER -