On the boundary values of harmonic functions in \(R^ 3\). (English) Zbl 0132.34002

Full Text: DOI


[1] Calderon, A. P., On the behaviour of harmonic functions at the boundary. Trans. Amer. Math. Soc.68, 47 (1950). · Zbl 0035.18901
[2] Carleson, L., On the existence of boundary values for harmonic functions in several variables. Ark. Mat. 4 nr 30, 343 (1960). · Zbl 0090.28603
[3] Eîdus, D. M., Estimations of the derivatives of the Green’s function (Ocenki proizvodnyh funkcii Grina). Doklady Akad. Nauk SSSR 106 No. 1, 207 (1956).
[4] Fatou, P., Séries trigonometriques et séries de Taylor. Acta Math.30, 335 (1906). · JFM 37.0283.01
[5] Gunther, N. M., La théorie du potentiel. Paris 1934.
[6] Schauder, J., Potentialtheoretische Untersuchungen I. Mathematische Zeitschrift33, 602 (1931). · Zbl 0001.33602
[7] Smirnov, W. I., Lehrgang der höheren Mathematik IV. Berlin 1958. · Zbl 0083.26702
[8] Solomencev, E. D., Sur les valeurs limites des fonctions sousharmoniques (O graničnyh značeniyah subgarmoničeskih funkciî). Czechoslovak Math. J.8, 520 (1958).
[9] Stein, E. M., On the theory of harmonic functions of several variables. II. Acta Math.106, 137 (1961). · Zbl 0111.08001
[10] Tsuji, M., On the boundary values of a harmonic function in space. Japanese J. of Math. XIX, 111 (1943). · Zbl 0061.08801
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.