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On Riesz type inequalities for harmonic mappings on the unit disk

David Kalaj

Source record

Source: Crossref

Published: Mar 26, 2019

DOI: 10.1090/tran/7808

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Source abstract

We prove some sharp inequalities for complex harmonic functions on the unit disk. The results extend a M. Riesz conjugate function theorem and some well-known estimates for holomorphic functions. We apply some of results to the isoperimetric inequality for harmonic mappings.

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