Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 203 / 2 / a / i / Solution

A family $(K_t{)}_{t\ge 0}$ of compact H-hulls is non-decreasing whenThis permits equal hulls at different times. A Loewner chain with strictly increasing half-plane capacity has strict inclusion for $s<t$. Usually its initial compact H-hull is $K_0=\varnothing$.