Regularly monotone majorants in the Hardy-Littlewood theorem
1 Department of Function Theory and Mathematics Teaching Methods, Lesya Ukrainka Eastern European National University, Volyn, Lutsk, 43025, Ukraine
Keywords:
regularly monotone majorants, Hardy-Littlewood theorem, results of S.A.Nolder and D.M.Oberlin
Abstract
In this paper conditions on the majorant are obtained such that the classical Hardy–Littlewood theorem for analytic functions on the disk is valid for derivatives of an arbitrary fixed order. The obtained results generalize some results of S.A.Nolder and D.M.Oberlin.
References
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Cite
- ACS Style
- Poddubny, O.M. Regularly monotone majorants in the Hardy-Littlewood theorem. Bukovinian Mathematical Journal. 2016, 3
- AMA Style
- Poddubny OM. Regularly monotone majorants in the Hardy-Littlewood theorem. Bukovinian Mathematical Journal. 2016; 3(1).
- Chicago/Turabian Style
- Oleksiy Mykhailovych Poddubny. 2016. "Regularly monotone majorants in the Hardy-Littlewood theorem". Bukovinian Mathematical Journal. 3 no. 1.
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