期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2003
卷号：2003
DOI：10.1155/S0161171203206116
出版社：Hindawi Publishing Corporation
摘要：We establish a generalized Jensen's inequality for analytic vector-valued functions on 𝕋N using a monotonicity
property of vector-valued Hardy martingales. We then discuss how this
result extends to functions on a compact abelian group G, which are
analytic with respect to an order on the dual group. We also give a
generalization of Helson and Lowdenslager's version of Jensen's
inequality to certain operator-valued analytic functions.
