Integral means of analytic functions
Sharp bounds for general integral means of analytic functions in the unit disc are determined. These bounds depend only on the moduli of the points on the boundary of the image domain nearest to and farthest from the origin. The proof is shown to be a simple application of a deep theorem of A. Beurling in potential theory.
KeywordsAnalytic Function Harmonic Function Convex Function Unit Disc Univalent Function
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