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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