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Bergman completeness is not a quasi-conformal invariant
quasi-conformal invariant Bergman completeness Complex Variables
2011/9/22
Abstract: We show that Bergman completeness is not a quasi-conformal invariant for general Riemann surfaces.
Factorisation of conformal maps on finitely connected domains
Factorisation of conformal maps finitely connected domains Complex Variables
2011/8/24
Abstract: Let $U$ be a multiply connected domain of the Riemann sphere $\hat{C}$ whose complement $\hat{C}\setminus U$ has $N<\infty$ components. We show that every conformal map on $U$ can be written...