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

David Kalaj; Elver Bajrami

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arXiv · 1701.03429

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

David Kalaj·Elver Bajrami

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

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BibTeX RIS

David Kalaj, Elver Bajrami. 2017-01-12. On some Riesz and Carleman type inequalities for harmonic functions on the unit disk. https://arxiv.org/abs/1701.03429

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