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Proceedings of the American Mathematical Society
Volumn 131, Issue 12, 2003, Pages 3873-3881
Positive harmonic functions of finite order in a Denjoy type domain
Author keywords

Denjoy type domain; Finite order; Harmonic function
Indexed keywords

EID: 0345359859     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-03-06977-6     Document Type: Conference Paper
Times cited : (9)
References (15)
  • 1
    • 0032329262 scopus 로고    scopus 로고
    • Norm estimate of Green operator, perturbation of Green function and integrability of superharmonic functions
    • MR 99m:35042
    • H. Aikawa, Norm estimate of Green operator, perturbation of Green function and integrability of superharmonic functions, Math. Ann. 312 (1998), no. 2, 289-318. MR 99m:35042
    • (1998) Math. Ann. , vol.312 , Issue.2 , pp. 289-318
    • Aikawa, H.1
  • 2
    • 0010425765 scopus 로고
    • Une propriété de la compactification de Martin d'un domaine euclidien
    • MR 81f:31013
    • A. Ancona, Une propriété de la compactification de Martin d'un domaine euclidien, Ann. Inst. Fourier (Grenoble) 29 (1979), no. 4, ix, 71-90. MR 81f:31013
    • (1979) Ann. Inst. Fourier (Grenoble) , vol.29 , Issue.4
    • Ancona, A.1
  • 3
    • 0345723981 scopus 로고
    • Sur la frontière de Martin des domaines de Denjoy
    • MR 92e:31001
    • _, Sur la frontière de Martin des domaines de Denjoy, Ann. Acad. Sci. Fenn. Ser. A I Math. 15 (1990), no. 2, 259-271. MR 92e:31001
    • (1990) Ann. Acad. Sci. Fenn. Ser. A I Math. , vol.15 , Issue.2 , pp. 259-271
  • 5
    • 0002631657 scopus 로고
    • n
    • MR 82h:31004
    • n, Ark. Mat. 18 (1980), no. 1, 53-72. MR 82h:31004
    • (1980) Ark. Mat. , vol.18 , Issue.1 , pp. 53-72
    • Benedicks, M.1
  • 6
    • 0041579898 scopus 로고
    • n dont le bord est inclus dans une hypersurface lipschitzienne
    • MR 91e:31024
    • n dont le bord est inclus dans une hypersurface lipschitzienne, Ark. Mat. 27 (1989), no. 1, 29-48. MR 91e:31024
    • (1989) Ark. Mat. , vol.27 , Issue.1 , pp. 29-48
    • Chevallier, N.1
  • 7
    • 51249168672 scopus 로고
    • Martin boundaries of sectorial domains
    • MR 94k:31002
    • M. C. Cranston and T. S. Salisbury, Martin boundaries of sectorial domains, Ark. Mat. 31 (1993), no. 1, 27-49. MR 94k:31002
    • (1993) Ark. Mat. , vol.31 , Issue.1 , pp. 27-49
    • Cranston, M.C.1    Salisbury, T.S.2
  • 8
    • 51249190424 scopus 로고
    • Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions
    • MR 54:568
    • S. Friedland and W. K. Hayman, Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions, Comment. Math. Helv. 51 (1976), no. 2, 133-161. MR 54:568
    • (1976) Comment. Math. Helv. , vol.51 , Issue.2 , pp. 133-161
    • Friedland, S.1    Hayman, W.K.2
  • 9
    • 84966245317 scopus 로고
    • Minimal harmonic functions on Denjoy domains
    • MR 90c:31013
    • S. J. Gardiner, Minimal harmonic functions on Denjoy domains, Proc. Amer. Math. Soc. 107 (1989), no. 4, 963-970. MR 90c:31013
    • (1989) Proc. Amer. Math. Soc. , vol.107 , Issue.4 , pp. 963-970
    • Gardiner, S.J.1
  • 11
    • 0034394675 scopus 로고    scopus 로고
    • Martin boundaries of quasi-sectorial domains
    • MR 2002k:31023
    • A. Lömker, Martin boundaries of quasi-sectorial domains, Potential Anal. 13 (2000), no. 1, 11-67. MR 2002k:31023
    • (2000) Potential Anal. , vol.13 , Issue.1 , pp. 11-67
    • Lömker, A.1
  • 12
    • 85009823707 scopus 로고    scopus 로고
    • On the failure of a generalized Denjoy-Wolff theorem
    • electronic. MR 2003a:30031
    • P. Poggi-Corradini, On the failure of a generalized Denjoy-Wolff theorem, Conform. Geom. Dyn. 6 (2002), 13-32 (electronic). MR 2003a:30031
    • (2002) Conform. Geom. Dyn. , vol.6 , pp. 13-32
    • Poggi-Corradini, P.1
  • 13
    • 84966205385 scopus 로고
    • Martin boundaries of Denjoy domains
    • MR 89m:31008
    • S. Segawa, Martin boundaries of Denjoy domains, Proc. Amer. Math. Soc. 103 (1988), no. 1, 177-183. MR 89m:31008
    • (1988) Proc. Amer. Math. Soc. , vol.103 , Issue.1 , pp. 177-183
    • Segawa, S.1
  • 14
    • 0344861021 scopus 로고
    • Martin boundaries of Denjoy domains and quasiconformal mappings
    • MR 91j:30034
    • _, Martin boundaries of Denjoy domains and quasiconformal mappings, J. Math. Kyoto Univ. 30 (1990), no. 2, 297-316. MR 91j:30034
    • (1990) J. Math. Kyoto Univ. , vol.30 , Issue.2 , pp. 297-316
  • 15
    • 0000866786 scopus 로고
    • Zur Symmetrisierung von Funktionen auf Sphären
    • MR 49:5310
    • E. Sperner, Jr., Zur Symmetrisierung von Funktionen auf Sphären, Math. Z. 134 (1973), 317-327. MR 49:5310
    • (1973) Math. Z. , vol.134 , pp. 317-327
    • Sperner Jr., E.1

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