- Advanced Hessian Operator, m-capacity, Cegrell’s lessons and m-Potential related to a Optimistic Closed Present(arXiv)
Creator : Abir Dhouib, Fredj Elkhadhra
Summary : On this paper we firstly introduce the ideas of capability and Cegrell’s lessons related to any m-positive closed present T. Subsequent, after investigating essentially the most imporant associated properties, we examine the definition and the continuity of the complicated hessian operator in a number of circumstances, generalizing then the work of Demailly and Xing on this course. We additionally show a Xing-type comparability precept for the analogous Cegrell class Fm,T of damaging m-subharmonic capabilities. Lastly, we generalize the work of Ben Messaoud-El Mir on the complicated Monge-Ampère operator and the Lelong-Skoda potential related to a optimistic closed present
