Sione Ma‘u

activity

20062018

collaborators

3 papers

math.CV2018

Lelong classes of plurisubharmonic functions on an affine variety

Jesse hart, Sione Ma`u

We study the Lelong classes $L (V), L^{+} (V)$ of psh functions on an affine variety $V$ . We compute the Monge-Ampère mass of these functions, which we use to define…

math.CV2015

A weighted extremal function and equilibrium measure

Len Bos, Norman Levenberg, Sione Ma`u +1

Let $K = R^{n} \subset C^{n}$ and $Q (x) := \frac{1}{2} lo g (1 + x^{2})$ where $x = (x_{1}, ..., x_{n})$ and $x^{2} = x_{1}^{2} + \dots + x_{n}^{2}$ . Utilizing extremal functions for convex bodies in ${…

math.CV2006

Complex Monge-Ampere of a Maximum

Eric Bedford, Sione Ma`u

We give a formula for the complex Monge-Ampere operator applied to the maximum of a finite number of functions.