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Multiply superharmonic functions

Kohur Gowrisankaran

Annales de l'institut Fourier (1975)

  • Volume: 25, Issue: 3-4, page 235-244
  • ISSN: 0373-0956

Abstract

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

How to cite

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Gowrisankaran, Kohur. "Multiply superharmonic functions." Annales de l'institut Fourier 25.3-4 (1975): 235-244. <http://eudml.org/doc/74244>.

@article{Gowrisankaran1975,
abstract = {Some results concerning the multiply superharmonic functions and the boundary behaviour are given and some problems involving these notions are described.},
author = {Gowrisankaran, Kohur},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {3-4},
pages = {235-244},
publisher = {Association des Annales de l'Institut Fourier},
title = {Multiply superharmonic functions},
url = {http://eudml.org/doc/74244},
volume = {25},
year = {1975},
}

TY - JOUR
AU - Gowrisankaran, Kohur
TI - Multiply superharmonic functions
JO - Annales de l'institut Fourier
PY - 1975
PB - Association des Annales de l'Institut Fourier
VL - 25
IS - 3-4
SP - 235
EP - 244
AB - Some results concerning the multiply superharmonic functions and the boundary behaviour are given and some problems involving these notions are described.
LA - eng
UR - http://eudml.org/doc/74244
ER -

References

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  1. [1] P. R. AHERN and W. RUDIN, Factorizations of bounded holomorphic functions, Duke Math. J., 39 (1972), 767-777. Zbl0265.32004MR46 #9377
  2. [2] M. BRELOT, Lectures on Potential Theory, Tata Institute of Fundamental Research, Bombay, 1960. Zbl0098.06903MR22 #9749
  3. [3] M. BRELOT and J.-L. DOOB, Limites angulaires et limites fines, Ann. Inst. Fourier, XIII, fasc. 2 (1963), 395-415. Zbl0132.33902MR33 #4299
  4. [4] R. CAIROLI, Une Représentation intégrale pour fonction séparément excessive, Ann. Inst. Fourier, 18 (1968), 317-338. Zbl0165.52601MR41 #4650
  5. [5] A. DRINKWATER, Integral representation for multiply superharmonic functions. Math. Annalen (to appear). Zbl0286.31010
  6. [6] K. GOWRISANKARAN, Extreme harmonic functions and boundary value problems, Ann. Inst. Fourier, XIII, fasc. 2 (1963), 307-356. Zbl0134.09503MR29 #1350
  7. [7] K. GOWRISANKARAN, Iterated fine limits and non-tangential limits, Trans. Amer. Math. Soc., 173 (1972), 71-92. Zbl0226.31013MR47 #489
  8. [8] K. GOWRISANKARAN, Multiply harmonic functions, Nagoya Math. J., 28 (1966), 27-48. Zbl0148.10501MR35 #410
  9. [9] K. GOWRISANKARAN, On a problem of Doob concerning multiply superharmonic functions, Nagoya Math. J., 39 (1970), 127-132. Zbl0201.43303MR42 #3296
  10. [10] K. GOWRISANKARAN, Integral representation for a class of multiply superharmonic functions, Ann. Inst. Fourier, XXIII, fasc. 4 (1973), 105-143. Zbl0259.31004MR49 #616
  11. [11] I. REAY, (to appear). 
  12. [12] A. ZYGMUND, Trigonometrical series, vol. 2, 2nd ed. Cambridge University Press, New York, 1959. Zbl0085.05601

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