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.
@article{AIF_1975__25_3-4_235_0, author = {Gowrisankaran, Kohur}, title = {Multiply superharmonic functions}, journal = {Annales de l'Institut Fourier}, pages = {235--244}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {25}, number = {3-4}, year = {1975}, doi = {10.5802/aif.581}, mrnumber = {53 #5918}, zbl = {0303.31006}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.581/} }
TY - JOUR AU - Gowrisankaran, Kohur TI - Multiply superharmonic functions JO - Annales de l'Institut Fourier PY - 1975 SP - 235 EP - 244 VL - 25 IS - 3-4 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.581/ DO - 10.5802/aif.581 LA - en ID - AIF_1975__25_3-4_235_0 ER -
Gowrisankaran, Kohur. Multiply superharmonic functions. Annales de l'Institut Fourier, Tome 25 (1975) no. 3-4, pp. 235-244. doi : 10.5802/aif.581. http://www.numdam.org/articles/10.5802/aif.581/
[1] Factorizations of bounded holomorphic functions, Duke Math. J., 39 (1972), 767-777. | MR | Zbl
and ,[2] Lectures on Potential Theory, Tata Institute of Fundamental Research, Bombay, 1960. | MR | Zbl
,[3] Limites angulaires et limites fines, Ann. Inst. Fourier, XIII, fasc. 2 (1963), 395-415. | Numdam | MR | Zbl
and ,[4] Une Représentation intégrale pour fonction séparément excessive, Ann. Inst. Fourier, 18 (1968), 317-338. | Numdam | MR | Zbl
,[5] Integral representation for multiply superharmonic functions. Math. Annalen (to appear). | Zbl
,[6] Extreme harmonic functions and boundary value problems, Ann. Inst. Fourier, XIII, fasc. 2 (1963), 307-356. | Numdam | MR | Zbl
,[7] Iterated fine limits and non-tangential limits, Trans. Amer. Math. Soc., 173 (1972), 71-92. | MR | Zbl
,[8] Multiply harmonic functions, Nagoya Math. J., 28 (1966), 27-48. | MR | Zbl
,[9] On a problem of Doob concerning multiply superharmonic functions, Nagoya Math. J., 39 (1970), 127-132. | MR | Zbl
,[10] Integral representation for a class of multiply superharmonic functions, Ann. Inst. Fourier, XXIII, fasc. 4 (1973), 105-143. | Numdam | MR | Zbl
,[11]
, (to appear).[12] Trigonometrical series, vol. 2, 2nd ed. Cambridge University Press, New York, 1959. | Zbl
,Cité par Sources :