On Riesz type inequalities for harmonic mappings on the unit disk
Complex Variables
2017-01-20 v2
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.
Keywords
Cite
@article{arxiv.1701.04785,
title = {On Riesz type inequalities for harmonic mappings on the unit disk},
author = {David Kalaj},
journal= {arXiv preprint arXiv:1701.04785},
year = {2017}
}
Comments
37 pages