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Some classical function theory theorems and their modern versions. (English) Zbl 0154.07503

Ann. Inst. Fourier 15, No. 1, 113-135 (1965); errata 17, No. 1, 469 (1967).
Also published as Colloq. Int. Centre Nat. Rech. Sci. 146, 113-135 (1965).
Reviewer: T. Kuroda

MSC:

30D40 Cluster sets, prime ends, boundary behavior
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[1] [1] , Etude générale des fonctions harmoniques ou surharmoniques positives au voisinage d’un point-frontière irrégulier, Annales de l’Université de Grenoble, 22 (1946), 201-219. · Zbl 0061.22805
[2] [2] and , Limites angulaires et limites fines, Annales de l’Institut Fourier, 13 (1963), 395-413. · Zbl 0132.33902
[3] [3] , On the existence of boundary values for harmonic functions in several variables, Arkiv for matematik, 4 (1961), 393-399. · Zbl 0107.08402
[4] [4] and , Ideale Ränder Riemannscher Flächen, Ergebnisse der Mathematik, Springer, 1963. · Zbl 0112.30801
[5] [5] , Stochastic Processes, New York, 1953. · Zbl 0053.26802
[6] [6] , A non-probabilistic proof of the relative Fatou theorem, Annales de l’Institut Fourier, 9 (1959), 293-300. · Zbl 0095.08203
[7] [7] , Conformally invariant cluster value theory, Illinois J. Math., 5 (1961), 521-549. · Zbl 0196.42201
[8] [8] , Extreme harmonic functions and boundary value problems, Annales de l’Institut Fourier, 13 (1963). · Zbl 0134.09503
[9] [9] and , A maximal theorem with function theoretic applications, Acta Math., 54 (1930), 81-116. · JFM 56.0264.02
[10] [10] , Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel, Annales de l’Institut Fourier, 7 (1957), 183-285. · Zbl 0086.30603
[11] [11] , Harmonic and analytic functions of several variables and the maximal theorem of Hardy and Littlewood, Canadian J. Math., 8 (1956), 171-183. · Zbl 0072.07901
[12] [12] , A generalization of an inequality of Hardy and Littlewood, Canadian J. Math., 8 (1956), 157-170. · Zbl 0071.05502
[13] [13] , Trigonometric Series, sec. ed., Cambridge, 1959. · Zbl 0085.05601
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