Boundary Limits of Green Potentials of General Order

DOI10.2307/2046563zbMath0659.31007OpenAlexW4244313215MaRDI QIDQ3808408

Yoshihiro Mizuta

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046563

zbMATH Keywords

Green potentialshalf-spacesuperharmonicboundary limits

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)

Asymptotic behavior for a class of modified \(\alpha \)-potentials in a half space ⋮ Growth estimates for modified Green potentials in the upper-half space ⋮ Sobolev type inequalities for fractional maximal functions and Green potentials in half spaces ⋮ Unnamed Item

Cites Work

• Boundary limits of Green potentials in the unit disc
• Minimally semi-fine limits of Green potentials of general order
• Tangential boundary behavior of Green potentials and contractive properties of \(L^ p\)-capacities
• Le théorème du minimax et la théorie fine du potentiel
• Boundary Behavior of Green Potentials

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