arXiv 1701.034292017-01-12math.CV

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

David Kalaj, Elver Bajrami

备注：: 11 pages

英文摘要：

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 $h^4$. The results extend some recent results on the area. Further we discus some Riesz type results for holomorphic functions.

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