Hardy type spaces associated with compact unitary groups

被引：4

作者：

Lopushansky, Oleh ^{[2
]}

Zagorodnyuk, Andriy ^{[1
,3
]}

机构：

[1] Precarpathian Natl Univ, Dept Math & Comp Sci, UA-76025 Ivano Frankivsk, Ukraine

[2] Rzeszow Univ, Inst Math, PL-35310 Rzeszow, Poland

[3] Ukrainian Acad Sci, Inst Appl Problems Mech & Math, UA-79060 Lvov, Ukraine

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 02期

关键词：

Infinity-dimensional holomorphy; Hardy spaces; Invariant representing measures; ANALYTIC-FUNCTIONS; BANACH-SPACE;

D O I：

10.1016/j.na.2010.09.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate Hilbertian Hardy type spaces of complex analytic functions of infinite many variables, associated with compact unitary groups and the corresponding invariant Haar's measures. For such analytic functions we establish a Cauchy type integral formula and describe natural domains. Also we show some relations between constructed spaces of analytic functions and the symmetric Fock space. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：556 / 572

页数：17

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