jian1
Aug9-09, 04:40 AM
1. The problem statement, all variables and given/known data
Let h(z) be a smooth real-valued function on a neighborhood of the closure of a bounded domain D. Show that h(z) can be expressed as the difference of two smooth subharmonic functions.
2. Relevant equations
Hint: Consider u(z)=h(z)+C|z|^2
3. The attempt at a solution
Let h(z) be a smooth real-valued function on a neighborhood of the closure of a bounded domain D. Show that h(z) can be expressed as the difference of two smooth subharmonic functions.
2. Relevant equations
Hint: Consider u(z)=h(z)+C|z|^2
3. The attempt at a solution