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We solve the old Kühnau's problem on the exact lower bound in the inverse inequality estimating the dilatation of a univalent function by its Grunsky norm and in the related Ahlfors inequality for Fredholm eigenvalues.
Georgian Mathematical Journal – de Gruyter
Published: Sep 1, 2006
Keywords: Grunsky coefficient inequalities; Fredholm eigenvalues; quasiconformal reflection; subharmonic function; Strebel point; conformal metric; generalized Gaussian curvature
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