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Boundary limits of Green potentials of general order. (English) Zbl 0659.31007
The author discusses the boundary limits of Green potentials in a half- space of the n-dimensional Euclidean space. As a corollary, the result includes the recent result of M. Stoll [Arch. Math. 44, 451-455 (1985; Zbl 0553.31003)] concerning the boundary limits of superharmonic functions along curves tending to the boundary.

MSC:
31B15 Potentials and capacities, extremal length and related notions in higher dimensions
31B25 Boundary behavior of harmonic functions in higher dimensions
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[1] Hiroaki Aikawa, Tangential boundary behavior of Green potentials and contractive properties of \?^\?-capacities, Tokyo J. Math. 9 (1986), no. 1, 223 – 245. · Zbl 0617.31002 · doi:10.3836/tjm/1270150987 · doi.org
[2] Bent Fuglede, Le théorème du minimax et la théorie fine du potentiel, Ann. Inst. Fourier (Grenoble) 15 (1965), no. fasc. 1, 65 – 88 (French). · Zbl 0128.33103
[3] Daniel H. Luecking, Boundary behavior of Green potentials, Proc. Amer. Math. Soc. 96 (1986), no. 3, 481 – 488. · Zbl 0594.31009
[4] Yoshihiro Mizuta, Minimally semifine limits of Green potentials of general order, Hiroshima Math. J. 12 (1982), no. 3, 505 – 511. · Zbl 0513.31005
[5] Manfred Stoll, Boundary limits of Green potentials in the unit disc, Arch. Math. (Basel) 44 (1985), no. 5, 451 – 455. · Zbl 0553.31003 · doi:10.1007/BF01229328 · doi.org
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