On Riesz type inequalities for harmonic mappings on the unit disk

By David Kalaj. Transactions of the American Mathematical Society, 2017

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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.

Subfields: Applied Mathematics, Geometry and Topology

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