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Comparisons of Kernel functions, boundary Harnack principle and relative Fatou theorem on Lipschitz domains. (English) Zbl 0368.31006

MSC:
31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
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References:
[1] A. ANCONA, Principe de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien, Ann. Inst. Fourier, (to appear). · Zbl 0377.31001
[2] A. S. BESICOVITCH, A general form of the covering principle and relative differentiation of additive functions II, Proc. Cambridge Philos. Soc., 42 (1946), 1-10. · Zbl 0063.00353
[3] M. BRELOT, Remarques sur LES zéros à la frontière des fonctions harmoniques positives, Un. Mat. Ita., Boll., Suppl., Ser. 4, 12 (1975), 314-319. · Zbl 0338.31004
[4] M. BRELOT et J. L. DOOB, Limites angulaires et limites fines, Ann. Institut Fourier, 13, 2 (1963), 395-415. · Zbl 0132.33902
[5] B. DAHLBERG, On estimates of harmonic measure, Arch. Rational Mech. Anal., 65, N° 3 (1977), 275-288. · Zbl 0406.28009
[6] J. L. DOOB, A relativized Fatou theorem, Proc. Nat. Acad. Sc., 45 (1959), N° 2, 215-222. · Zbl 0106.07801
[7] K. GOWRISANKARAN, Fatou-naim-Doob limit theorems in the axiomatic system of Brelot, Ann. Inst. Fourier, 16, 2 (1966), 455-467. · Zbl 0145.15103
[8] R. A. HUNT and R. L. WHEEDEN, On the boundary values of harmonic functions, Trans. Amer. Math. Soc., 132 (1968), 307-322. · Zbl 0159.40501
[9] R. A. HUNT and R. L. WHEEDEN, Positive harmonic functions on Lipschitz domains, Trans. Amer. Math. Soc., 147 (1970), 507-527. · Zbl 0193.39601
[10] J. T. KEMPER, A boundary Harnack principle for Lipschitz domains and the principle of positive singularities, Comm. Pure Applied Math., 25 (1972), 247-255. · Zbl 0226.31007
[11] J.-M. WU, On functions subharmonic in a Lipschitz domain, Proc. Amer. Math. Soc. (to appear). · Zbl 0377.31007
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