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Boundary properties of functions with finite Dirichlet integrals. (English) Zbl 0121.08604

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[1] Lars V. AHLFORS et H. L. ROYDEN, A counterexample in the classification of open Riemann surfaces. Ann. Acad. Sci. Fennicae. Sr. A. I., Math. Phys., n° 120 (1952). · Zbl 0048.05905
[2] N. ARONSZAJN, Boundary values of functions with finite Dirichlet integral. (Conference on partial differential equations, U. of Kansas (1954). Studies in eigenvalue problems. Technical report, 14. · Zbl 0068.08201
[3] M. BRELOT, Étude et extensions du principe de Dirichlet. Annales Inst. Fourier, 5 (1953-1954), 371-419. · Zbl 0067.33002
[4] M. BRELOT, et G. CHOQUET, Espaces et lignes de Green. Annales Inst. Fourier, 3 (1951), 119-263. · Zbl 0046.32701
[5] J. DENY, LES potentiels d’énergie finie. Acta math., 82 (1950), 107-183. · Zbl 0034.36201
[6] J. DENY et J. L. LIONS, LES espaces du type de beppo Levi. Annales Inst. Fourier, 5 (1953-1954), 305-370. · Zbl 0065.09903
[7] J. L. DOOB, Conditional Brownian motion and the boundary limits of harmonic functions. Bull. Soc. Math. France, 85 (1957), 431-458. · Zbl 0097.34004
[8] J. L. DOOB, A non-probabilistic proof of the relative Fatou theorem. Annales Inst. Fourier, 9 (1959), 293-300. · Zbl 0095.08203
[9] J. DOUGLAS, Solution of the problem of plateau. Trans. Amer. Math. Soc., 33 (1931), 263-321. · JFM 57.1542.03
[10] M. GODEFROID, Une propriété des fonctions B.L.D. dans un espace de Green. Annales Inst. Fourier, 9 (1959), 301-304. · Zbl 0095.08204
[11] Linda NAÏM, Sur le rôle de la frontière de R. S. martin dans la théorie du potentiel. Annales Inst. Fourier, 7 (1957), 183-281. · Zbl 0086.30603
[12] Jan ODHNOFF. Operators generated by differential problems with eigenvalue parameter in equation and boundary condition. Medd. Lunds Univ. Mat. Sem. 14 (1959). · Zbl 0138.36103
[13] Howard OSBORN, The Dirichlet functional. 1. J. Math. Analysis and Applications, 1 (1960), 61-112. · Zbl 0099.08103
[14] S. L. SOBOLEV, Some applications of functional analysis in mathematical physics (Russian), Leningrad, 1950.
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