Remarks on the Green's function of the linearized Monge-Ampère operator (Q2634726)

The author of this paper presents sharp bounds for the Green's function of the linearized Monge-Ampère operator. He starts with a summary and the repetition of previous results. In the section ``Bounding the Green's function'', he states the lemma which provides the bounds for the Green's function. In addition, he gives an insight how the maximum and the upper bound are estimated and prove those statements. After that, the author takes a look at further properties, i.e., the bounds of the Green's function from the point of view of potential theory, which leads to the proof of the lower bound.