Open Access

# Hardy type spaces on infinite dimensional group orbits

### Abstract

In Hilbert Hardy spaces of complex analytic functions with infinitely many variables, defined on unitary orbits of locally compact second countable group, the Cauchy type integral formulas are established. Existence of radial boundary values is proved. Results are illustrated for a reduced Heisenberg group.

### Article Information

 Title Hardy type spaces on infinite dimensional group orbits Source Methods Funct. Anal. Topology, Vol. 17 (2011), no. 3, 225-234 MathSciNet MR2857726 Copyright The Author(s) 2011 (CC BY-SA)

### Authors Information

O. V. Lopushansky
Institute of Mathematics, Rzeszow University, 16A Rejtana str., 35-310 Rzeszow, Poland

M. V. Oleksienko
Institute for Applied Problems of Mechanics and Mathematics, 3B Naukova, Lviv, 79601, Ukraine

### Citation Example

O. V. Lopushansky and M. V. Oleksienko, Hardy type spaces on infinite dimensional group orbits, Methods Funct. Anal. Topology 17 (2011), no. 3, 225-234.

### BibTex

@article {MFAT588,
AUTHOR = {Lopushansky, O. V. and Oleksienko, M. V.},
TITLE = {Hardy type spaces on infinite dimensional group orbits},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {17},
YEAR = {2011},
NUMBER = {3},
PAGES = {225-234},
ISSN = {1029-3531},
MRNUMBER = {MR2857726},
URL = {http://mfat.imath.kiev.ua/article/?id=588},
}