On some Riesz and Carleman type inequalities for harmonic functions on the unit disk

2017/01/12 by Kalaj, David, Bajrami, Elver
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1701.03429

Abstract

We prove some isoperimetric type inequalities for real harmonic functions in the unit disk belonging to the Hardy space h^p, p>1 and for complex harmonic functions in h⁴. The results extend some recent results on the area. Further we discus some Riesz type results for holomorphic functions.

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