On Riesz type inequalities for harmonic mappings on the unit disk-Reference-Cited by-同舟云学术

On Riesz type inequalities for harmonic mappings on the unit disk

Published:2019-03-26 Issue:6 Volume:372 Page:4031-4051
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Kalaj David

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2019-372-06/S0002-9947-2019-07808-X/S0002-9947-2019-07808-X.pdf

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