TY - JOUR
AU - V. A. Mozel’
PY - 2017/11/25
Y2 - 2022/10/02
TI - On a Banach algebra generated by the Bergman operator, constant coefficients,
and finitely generated groups of shifts
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 69
IS - 11
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1799
AB - We study a Banach algebra generated by the Bergman operator, constant coefficients, and shifts formed by finitely generatedcommutative groups of hyperbolic transformations of the unit disk acting in the Lebesgue space $L_p, p > 1$, and obtain aneffective criterion for the operators from the considered Banach algebra to be Fredholm operators.
ER -