2017/01/17 by David Kalaj, Kalaj, David · 2 citations
Mathematics · #Analytic and geometric function theory #Advanced Harmonic Analysis Research #Differential Equations and Boundary Problems
paper · pdf · doi:10.48550/arxiv.1701.04785
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.