Estimates for Convex Integral Means of Harmonic Functions

DOI10.1017/S0013091513000564zbMath1301.31005OpenAlexW2039356038MaRDI QIDQ2921038

Dimitrios Betsakos

Publication date: 30 September 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091513000564

zbMATH Keywords

harmonic functionconvex functionmean value

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Cites Work

• A Schwarz lemma for harmonic and hyperbolic-harmonic functions in higher dimensions
• A maximum principle with applications to subharmonic functions in n- space
• Integral means, univalent functions and circular symmetrization
• Spherical rearrangements, subharmonic functions, and \(\ast\)-functions in \(n\)-space
• Area, capacity and diameter versions of Schwarz’s Lemma
• An approach to symmetrization via polarization
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