On a Banach algebra generated by the Bergman operator, constant coefficients, and finitely generated groups of shifts

  • V. A. Mozel’

Abstract

We study a Banach algebra generated by the Bergman operator, constant coefficients, and shifts formed by finitely generated commutative groups of hyperbolic transformations of the unit disk acting in the Lebesgue space $L_p, p > 1$, and obtain an effective criterion for the operators from the considered Banach algebra to be Fredholm operators.
Published
25.11.2017
How to Cite
Mozel’V. A. “On a Banach Algebra Generated by the Bergman Operator, Constant coefficients, and Finitely Generated Groups of Shifts”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, no. 11, Nov. 2017, pp. 1515-23, http://umj.imath.kiev.ua/index.php/umj/article/view/1799.
Section
Research articles