@article{Mozel’_2017, title={On a Banach algebra generated by the Bergman operator, constant coefficients,
and finitely generated groups of shifts}, volume={69}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1799}, abstractNote={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.}, number={11}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Mozel’, V. A.}, year={2017}, month={Nov.}, pages={1515-1523} }