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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.

31B15 Potentials and capacities, extremal length and related notions in higher dimensions
31B25 Boundary behavior of harmonic functions in higher dimensions
Full Text: DOI
[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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