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Multiply superharmonic functions. (English) Zbl 0303.31006


MSC:

31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
31B25 Boundary behavior of harmonic functions in higher dimensions
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References:

[1] [1] and , Factorizations of bounded holomorphic functions, Duke Math. J., 39 (1972), 767-777. · Zbl 0265.32004
[2] [2] , Lectures on Potential Theory, Tata Institute of Fundamental Research, Bombay, 1960. · Zbl 0098.06903
[3] [3] and , Limites angulaires et limites fines, Ann. Inst. Fourier, XIII, fasc. 2 (1963), 395-415. · Zbl 0132.33902
[4] [4] , Une Représentation intégrale pour fonction séparément excessive, Ann. Inst. Fourier, 18 (1968), 317-338. · Zbl 0165.52601
[5] A. DRINKWATER, Integral representation for multiply superharmonic functions. Math. Annalen (to appear).0286.31010 · Zbl 0286.31010
[6] K. GOWRISANKARAN, Extreme harmonic functions and boundary value problems, Ann. Inst. Fourier, XIII, fasc. 2 (1963), 307-356.0134.0950329 #1350AIF_1963__13_2_307_0 · Zbl 0134.09503
[7] K. GOWRISANKARAN, Iterated fine limits and non-tangential limits, Trans. Amer. Math. Soc., 173 (1972), 71-92.0226.3101347 #489 · Zbl 0226.31013
[8] K. GOWRISANKARAN, Multiply harmonic functions, Nagoya Math. J., 28 (1966), 27-48.0148.1050135 #410 · Zbl 0148.10501
[9] K. GOWRISANKARAN, On a problem of Doob concerning multiply superharmonic functions, Nagoya Math. J., 39 (1970), 127-132.0201.4330342 #3296 · Zbl 0201.43303
[10] K. GOWRISANKARAN, Integral representation for a class of multiply superharmonic functions, Ann. Inst. Fourier, XXIII, fasc. 4 (1973), 105-143.0259.3100449 #616AIF_1973__23_4_105_0 · Zbl 0259.31004
[11] I. REAY, (to appear).
[12] A. ZYGMUND, Trigonometrical series, vol. 2, 2nd ed. Cambridge University Press, New York, 1959.0085.05601 · Zbl 0085.05601
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