Multiply superharmonic functions
Annales de l'Institut Fourier, Tome 25 (1975) no. 3-4, pp. 235-244.

On donne quelques résultats concernant les fonctions séparément surharmoniques et l’allure à la frontière et on décrit aussi quelques problèmes sur ce sujet.

Some results concerning the multiply superharmonic functions and the boundary behaviour are given and some problems involving these notions are described.

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     title = {Multiply superharmonic functions},
     journal = {Annales de l'Institut Fourier},
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Gowrisankaran, Kohur. Multiply superharmonic functions. Annales de l'Institut Fourier, Tome 25 (1975) no. 3-4, pp. 235-244. doi : 10.5802/aif.581. https://aif.centre-mersenne.org/articles/10.5802/aif.581/

[1] P. R. Ahern and W. Rudin, Factorizations of bounded holomorphic functions, Duke Math. J., 39 (1972), 767-777. | MR | Zbl

[2] M. Brelot, Lectures on Potential Theory, Tata Institute of Fundamental Research, Bombay, 1960. | MR | Zbl

[3] M. Brelot and J.-L. Doob, Limites angulaires et limites fines, Ann. Inst. Fourier, XIII, fasc. 2 (1963), 395-415. | Numdam | MR | Zbl

[4] R. Cairoli, Une Représentation intégrale pour fonction séparément excessive, Ann. Inst. Fourier, 18 (1968), 317-338. | Numdam | MR | Zbl

[5] A. Drinkwater, Integral representation for multiply superharmonic functions. Math. Annalen (to appear). | Zbl

[6] K. Gowrisankaran, Extreme harmonic functions and boundary value problems, Ann. Inst. Fourier, XIII, fasc. 2 (1963), 307-356. | Numdam | MR | Zbl

[7] K. Gowrisankaran, Iterated fine limits and non-tangential limits, Trans. Amer. Math. Soc., 173 (1972), 71-92. | MR | Zbl

[8] K. Gowrisankaran, Multiply harmonic functions, Nagoya Math. J., 28 (1966), 27-48. | MR | Zbl

[9] K. Gowrisankaran, On a problem of Doob concerning multiply superharmonic functions, Nagoya Math. J., 39 (1970), 127-132. | MR | Zbl

[10] K. Gowrisankaran, Integral representation for a class of multiply superharmonic functions, Ann. Inst. Fourier, XXIII, fasc. 4 (1973), 105-143. | Numdam | MR | Zbl

[11] I. Reay, (to appear).

[12] A. Zygmund, Trigonometrical series, vol. 2, 2nd ed. Cambridge University Press, New York, 1959. | Zbl

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