Abstract
We prove sharp version of Riesz-Fejér inequality for functions in harmonic Hardy space \(h^{p}(\mathbb {D})\) on the unit disk \(\mathbb {D}\), for p > 1, thus extending the result from Kayumov et al. (Potential Anal. 52, 105–113, 2020) and resolving the posed conjecture.
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We wish to express our gratitude to the anonymous referee for his/her helpful comments that have improved the quality of the paper.
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The first author is partially supported by MPNTR grant 174017, Serbia, the second author is partially supported by MPNTR grant 174032
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Melentijević, P., Božin, V. Sharp Riesz-Fejér Inequality for Harmonic Hardy Spaces. Potential Anal 54, 575–580 (2021). https://doi.org/10.1007/s11118-020-09839-3
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DOI: https://doi.org/10.1007/s11118-020-09839-3