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References
Aronszajn, N., andSmith, K. T., Functional spaces and functional completion. Ann. Inst. Fourier6, 125 (1955–6).
Arsove, M. G., andHuber, H., On the existence of non-tangential limits of subharmonic functions. Notices Am. Math. Soc.13, 3, 367 (1966).
Brelot, M. andDoob, J. L.: Limits angulaires et limites fines. Ann. Inst. Fourier13.2, 395 (1963).
Calderón, A. P., On the behavior of harmonic functions at the boundary. Trans. Am. Math. Soc.68, 47 (1950).
—: On a theorem of Marcinkiewicz and Zygmund. Trans. Am. Math. Soc.68, 55 (1950).
Calderón, A. P., andZygmund, A., On the existence of certain singular integrals. Acta Math.88, 85 (1952).
Carleson, L., On the existence of boundary values for harmonic functions in several variables. Ark. Mat.4.(30), 393 (1961).
Deny, J., andLions, J. L., Les espaces du type de Beppo-Levi. Ann. Inst. Fourier5, 305 (1953–4).
Fatou, P., Séries trigonometriques et séries de Taylor. Acta Math.30, 335 (1906).
Gunther, N. M., La théorie du potentiel. Paris, 1934.
Hardy, G. H., Littlewood, J. E., andPólya, G., Inequalities. Cambridge, 1934
Hörmander, L., On the division of distributions by polynomials. Ark. Mat.3.53, 555 (1958).
Keldyš, M. V., andLavrent'ev, M. A., Ob odnoî ocenke funkcii Grina (On an estimate of Green's function). Doklady Akad. Nauk SSSR24.2, 102 (1939).
Krasnosel'skiî, M. A., andRutickiî, Ja. B., Vypuklye funkcii i prostranstva Orliĉa (Convex fuctions and Orlicz spaces). Moskva, 1958.
Littlewood, J. E., On functions subharmonic in a cricle. II. Proc. London Math. Soc. (2)28, 383 (1928).
Łojasiewicz, S., Théorème de Fatou pour les équations elliptiques. Les équations aux derivées partielles. Coll. int. du CNRS. Paris, 1963.
Marcinkiewicz, J., andZygmund, A., A theorem of Lusin. Duke Math. J.4, 473 (1938).
Schauder, J., Potentialtheoretische Untersuchungen. Math. Z.33, 602 (1931).
Serrin, J., On the Harnack inequality for linear elliptic equations. J. d'Analyse Math.4, 292 (1956).
Solomencev, E. D., O graniĉnyh znaĉeniyah subgarmoniĉeskih funkciî (Sur les valeurs limites des fonctions sousharmoniques). Czechoslovak Math. J.8, 520 (1958).
Spencer, D. C., A function theoretic identity. Amer. J. Math.65, 147 (1943).
Stein, E. M., On the theory of harmonic functions of several variables. II. Acta Math.106, 137 (1961).
Tolsted, E. B., Nontangential limites of subharmonic functions. Proc. London Math. Soc.7, 321 (1967).
Vekua, I. N., Generalized analytic functions. Oxford, 1962.
Wallin, H., On the existence of boundary values of a class of Beppo-Levi functions. To appear in Trans. Amer. Math. Soc.
Weinstein, A., Generalized axially symmetric potential theory. Bull. Am. Math. Soc.59, 20 (1953).
Widman, K.-O., On the boundary values of harmonic functions inR 3. Ark. Mat.5.14, 221 (1964).
Zygmund, A., Trigonometric series. I. Cambridge, 1959.
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Widman, KO. On the boundary behavior of solutions to a class of elliptic partial differential equations. Ark. Mat. 6, 485–533 (1967). https://doi.org/10.1007/BF02591926
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DOI: https://doi.org/10.1007/BF02591926