Area growth of harmonic functions

196 Views Asked by At

Can one construct a harmonic function $f$ defined in unit disk with condition $f(0)\geq1$ such that area of $\{z\in\mathbb{D}: f(z)>0\}$ is small enough?

1

There are 1 best solutions below

0
On BEST ANSWER

This question was asked and answered at MathOverflow. The point of this answer is to provide the link and remove this from the list of unanswered questions. (I made this answer community wiki so that I don't gain reputation when I have not earned it and anyone can freely add details.)