Iterates of systems of operators in spaces of w-ultradifferentiable functions

作者：Boiti Chiara^*; Chaili Rachid; Mahrouz Tayeb

来源：Annales Polonici Mathematici, 2016, 118(2-3): 95-111.

DOI：10.4064/ap4024-12-2016

• iterates of systems of operators
• Theorem of the Iterates
• ultra-differentiable functions

Given two systems P = (Pj(D))(j=1)(N) and Q = (Q(j)(D))(j=1)(M) of linear partial differential operators with constant coefficients, we consider the spaces epsilon(P)(w) and epsilon(Q)(sigma) of weighted-ultradifferentiable functions with respect to the iterates of the systems P and Q respectively. We find necessary and sufficient conditions, on the systems and on the weights w(t) and sigma(t), for the inclusion epsilon(P)(w) subset of epsilon(Q)(sigma). As a consequence we obtain a generalization of the classical Theorem of the Iterates.

• 出版日期2016