| Popis: |
The purpose of this article is to study the residual Monge-Amp\`{e}re mass of a plurisubharmonic function with an isolated unbounded locus. A general decomposition formula for the residual mass is obtained, under the Sasakian structure of the unit sphere. In complex dimension two, we further obtain an upper-bound estimate, provided with the uniform directional Lipschitz continuity. As an application, the zero mass conjecture is confirmed, if the function further has a single frequency on its alternating part. |
