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arxiv: 1701.03429 · v1 · pith:2NWYYDGTnew · submitted 2017-01-12 · 🧮 math.CV

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

classification 🧮 math.CV
keywords functionssomeharmonicresultstypediskinequalitiesriesz
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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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