Weighted substitution operators in spaces of analytic functions

The spectrum of weighted conformai substitution operators is determined in a large class of Banach spaces of analytic functions, including many spaces whose norm is defined in terms of the properties of the functions themselves and of their derivatives.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 141, pp. 154–161, 1985.