Published: 1950 Received: June 18, 1947Available on J-STAGE: August 29, 2006Accepted: -
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Date of correction: August 29, 2006Reason for correction: -Correction: AFFILIATIONDetails: Wrong :
1) Department of Mathematical, Tokyo University
Right :
1) Mathematical Institute, Tokyo University
Date of correction: August 29, 2006Reason for correction: -Correction: CITATIONDetails: Right : 1) For an n-dimensional Poisson integral, c. f. C. Carathéodory: On Dirichlet problem. Amer. Jour. Math. 59 (1937). 2) The case n=2 is the well known theorems of Fatou and Schwarz. For the case n=3 I have proved analogous theorems in a paper: On Fatou's theorem on Poisson integrals. Jap. Jour-Math. 15 (1938). The method can be applied for the general case. 3) Osgood: Lehrbuch d. Funktionentheorie IIJ. p. 191 4) Bochner: Functions of several complex variables (1936) p. 194. Lemma,
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