A fine limit property of functions superharmonic outside a manifold
Gardiner, Stephen J.
Compositio Mathematica, Tome 84 (1992), p. 239-249 / Harvested from Numdam
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Publié le : 1992-01-01
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     author = {Gardiner, Stephen J.},
     title = {A fine limit property of functions superharmonic outside a manifold},
     journal = {Compositio Mathematica},
     volume = {84},
     year = {1992},
     pages = {239-249},
     mrnumber = {1174425},
     zbl = {0759.31002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1992__83_2_239_0}
}

Gardiner, Stephen J. A fine limit property of functions superharmonic outside a manifold. Compositio Mathematica, Tome 84 (1992) pp. 239-249. http://gdmltest.u-ga.fr/item/CM_1992__83_2_239_0/

1 D.H. Armitage: Zero sets that force the growth of a subharmonic function. Proc. R. Ir. Acad. 86A (1986) 5-17. | MR 865097 | Zbl 0597.31003

2 K. Burdzy: Brownian excursions and minimal thinness. I., Ann. Prob. 15 (1987) 676-689. | MR 885137 | Zbl 0656.60051

3 G.A. Cámera: On a condition of thinness at infinity, Comp. Math. 70 (1989) 1-11. | Numdam | MR 993170 | Zbl 0691.31002

4 J. Deny: Un théorème sur les ensembles effilés, Annls. Univ. Grenoble, Sect. Sci. Math. Phys. 23 (1948) 139-142. | Numdam | MR 24531 | Zbl 0030.05602

5 J.L. Doob: Classical potential theory and its probabilistic counterpart, Springer, New York 1984. | MR 731258 | Zbl 0549.31001

6 W.K. Hayman: Subharmonic functions, Volume 2, Academic Press, London 1989. | MR 1049148 | Zbl 0699.31001

7 L.L. Helms: Introduction to potential theory, Krieger, New York 1975. | MR 460666

8 S.C. Port and C.J. Stone: Brownian motion and classical potential theory, Academic Press, New York 1978. | MR 492329 | Zbl 0413.60067

9 P.J. Rippon: A boundary estimate for harmonic functions, Math. Proc. Cambridge Philos. Soc. 91 (1982) 79-90. | MR 633258 | Zbl 0498.31001

10 P.J. Rippon: The fine boundary behaviour of certain delta-subharmonic functions, J. London Math. Soc. (2)26 (1982) 487-503. | MR 684562 | Zbl 0519.31006