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A Note on Integral Means of the Derivative in Conformal Mapping

A Note on Integral Means of the Derivative in Conformal Mapping

There exists a number ${p_0} > 1/3$ such that among the derivatives of univalent functions, that of the Koebe function ceases to have the greatest order of growth of ${L^p}$-means for all $p \leq {p_0}$.