Hardy type spaces on infinite dimensional group orbits

Authors

  • M. V. Oleksienko Institute of Mathematics, Rzeszow University, 16A Rejtana str., 35-310 Rzeszow, Poland
  • O. V. Lopushansky Institute for Applied Problems of Mechanics and Mathematics, 3B Naukova, Lviv, 79601, Ukraine  https://orcid.org/0000-0002-9991-5547

DOI:

Keywords:

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.

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Published

2011-09-25

Issue

Vol. 17 No. 3 (2011)

Section

Articles

How to Cite

Oleksienko, M. V., and O. V. Lopushansky. “Hardy Type Spaces on Infinite Dimensional Group Orbits”. Methods of Functional Analysis and Topology, vol. 17, no. 3, Sept. 2011, pp. 225-34, https://zen.imath.kiev.ua/index.php/mfat/article/view/488.