Benedikt Magnusson
Disc formulas for $\omega$-plurisubharmonic functions
Poletsky's famous theorem for the envelope of the Poisson functional gives a disc formula for the largest plurisubharmonic function dominated by a given upper semicontinuous function. We will see how to formulate and prove the Poletsky theorem in the case of $\omega$-plurisubharmonic functions, where $\omega$ is the difference of two postive, closed $(1,1)$-currents.
This result enables us to get some new results about the classical case $\omega=0$. More specifically it combines two well-known disc formulas, for the Poisson functional and the Riesz functional, into one.