Maximal m-subharmonic functions and the Cegrell class N-m

摘要

In this paper, we will study the maximality of functions and a new Cegrell class N-m (Omega) which is between the classes F-m(Omega) and epsilon(m)(Omega). We study the Dirichlet problem, the subsolution theorem and the stability theorem for this class. (C) 2019 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.