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Growth properties of \(p\)-th hyperplane means of Green potentials in a half space

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Publication:1187565
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DOI10.2969/JMSJ/04410001zbMath0757.31003OpenAlexW2066611228MaRDI QIDQ1187565

Yoshihiro Mizuta

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.2969/jmsj/04410001


zbMATH Keywords

asymptotic behaviour of hyperplane mean


Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)


Related Items (4)

Spherical Means of Beppo Levi Functions ⋮ Growth properties of potentials in central Morrey–Orlicz spaces on the unit ball ⋮ Rate of growth of \(p\)th means of invariant potentials in the unit ball of \(\mathbb{C}{}^ n\). II ⋮ Sobolev type inequalities for fractional maximal functions and Green potentials in half spaces







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