Some results on the Ohsawa-Takegoshi L2 extension theorem

We improve the constant in Ohsawa's generalization of the Ohsawa-Takegoshi L2 extension theorem and apply the result to the Suita conjecture in one complex variable.
The technique can also be used to prove in a simple way a generalization of the Ohsawa-Takegoshi L2 extension for dbar-closed smooth (n - 1, q)-forms