Optimal constant problem in the L2 extension theorem

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A solution of an $L^{2}$ extension problem with optimal estimate and applications (2013, methodology): “[29] For any holomorphic section f of KSreg on Sreg satisfying”
A solution of an L 2 extension problem with an optimal estimate and applications (2015, methodology): “The above conjecture was first proved for bounded planar domains by Blocki [10], [11] and independently by Guan-Zhou [26] for open Riemann surfaces.”
A sharp effectiveness result of Demailly's strong openness conjecture (2017, background): “Summarizing the above discussion about s and u, we are naturally led to a system of ODEs (see [12, 13, 14, 16]): 1).”