| Authors: | Stević, Stevo | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Weighted integrals of harmonic functions | Journal: | Studia Scientiarum Mathematicarum Hungarica | Volume: | 39 | Issue: | 1-2 | First page: | 87 | Last page: | 96 | Issue Date: | 1-Jan-2002 | Rank: | M23 | ISSN: | 0081-6906 | DOI: | 10.1556/SScMath.39.2002.1-2.5 | Abstract: | The main result in this paper is the following: Suppose 1 ≤ p < ∞ and ω is an admissible weight with distortion function ψ. Then |u(x)|pω(x)dV(x)|u(0)|p+∫|∇u(x)| pψ(x)pω(x)dV(x), for all harmonic function u on the unit ball B. |
Keywords: | Bergman space | Harmonic functions | Weight functions | Publisher: | AKJournals |
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