Integral means of analytic functions |
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| Authors: | Bernard Pinchuk |
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| Affiliation: | 1. Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel
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| Abstract: | 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. |
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