English

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

Complex Variables 2017-01-13 v1

Abstract

We prove some isoperimetric type inequalities for real harmonic functions in the unit disk belonging to the Hardy space hph^p, p>1p>1 and for complex harmonic functions in h4h^4. The results extend some recent results on the area. Further we discus some Riesz type results for holomorphic functions.

Keywords

Cite

@article{arxiv.1701.03429,
  title  = {On some Riesz and Carleman type inequalities for harmonic functions on the unit disk},
  author = {David Kalaj and Elver Bajrami},
  journal= {arXiv preprint arXiv:1701.03429},
  year   = {2017}
}

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11 pages