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Boundary approach filters for analytic functions. (English) Zbl 0251.30034

##### MSC:
 30D40 Cluster sets, prime ends, boundary behavior 30D55 $$H^p$$-classes (MSC2000)
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##### References:
 [1] M. BRELOT and J.L. DOOB, Limites angulaires et limites fines, Ann. Inst. Fourier, 13 (1963), 395-415. · Zbl 0132.33902 [2] J.L. DOOB, Conditional Brownian motion and the boundary limits of harmonic functions, Bull. Soc. Math. France 85 (1957), 431-458. · Zbl 0097.34004 [3] Kenneth HOFFMAN, Banach spaces of analytic functions, Prentice Hall 1962. · Zbl 0117.34001 [4] Kenneth HOFFMAN, Bounded analytic functions and Gleason parts, Ann. Math. 86 (1967), 74-111. · Zbl 0192.48302 [5] L. LUMER-NAÏM, Sur le rôle de la frontière de R.S. martin dans la théorie du potentiel, Ann. Inst. Fourier 7 (1957), 183-281. · Zbl 0086.30603 [6] Gabriel MOKODOBZKI, Ultrafiltres rapides sur N. construction d’une densité relative de deux potentiels comparables, Séminaire Théorie Potentiel Brelot-Choquet-Deny 1967/1968 Exp. 12. · Zbl 0177.37701 [7] M. ROSENFELD and MAX L. Weiss, A function algebra approach to a theorem of Lindelöf, J. London Math. Soc. (2) 2 (1970), 209-215. · Zbl 0193.10301 [8] M. TSUJI, Potential theory in modern function theory, Tokyo 1959. · Zbl 0087.28401
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