A non probabilistic proof of the relative Fatou theorem

J. L. Doob

Annales de l'institut Fourier (1959)

  • Volume: 9, page 293-300
  • ISSN: 0373-0956

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Doob, J. L.. "A non probabilistic proof of the relative Fatou theorem." Annales de l'institut Fourier 9 (1959): 293-300. <http://eudml.org/doc/73754>.

@article{Doob1959,
author = {Doob, J. L.},
journal = {Annales de l'institut Fourier},
keywords = {partial differential equations},
language = {eng},
pages = {293-300},
publisher = {Association des Annales de l'Institut Fourier},
title = {A non probabilistic proof of the relative Fatou theorem},
url = {http://eudml.org/doc/73754},
volume = {9},
year = {1959},
}

TY - JOUR
AU - Doob, J. L.
TI - A non probabilistic proof of the relative Fatou theorem
JO - Annales de l'institut Fourier
PY - 1959
PB - Association des Annales de l'Institut Fourier
VL - 9
SP - 293
EP - 300
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/73754
ER -

References

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  1. [1] M. BRELOT, Le problème de Dirichlet. Axiomatique et frontière de Martin (J. Math. pures et appl., 35 (1956), 297-335). Zbl0071.10001MR20 #6607
  2. [2] A. P. CALDERON, On the behavior of harmonic functions at the boundary (Trans. Amer. Math. Soc., 68 (1950), 47-54). Zbl0035.18901MR11,357e
  3. [3] J. L. DOOB, Conditional Brownian motion and the boundary limits of harmonic functions (Bull. Soc. Math. France, 85 (1957), 431-458). Zbl0097.34004MR22 #844
  4. [4] L. NAÏM, Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel (Ann. Inst. Fourier, 7 (1957), 183-281). Zbl0086.30603MR20 #6608

Citations in EuDML Documents

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  1. Marcel Brelot, J. L. Doob, Limites angulaires et limites fines
  2. Linda Lumer-Naïm, Sur le théorème de Fatou généralisé
  3. Daniel Sibony, Théorème de limites fines et problème de Dirichlet
  4. J. L. Doob, Some classical function theory theorems and their modern versions
  5. Marcel Brelot, Intégrabilité uniforme quelques applications à la théorie du potentiel
  6. Marcel Brelot, Allure des potentiels a la frontière et fonctions fortement sousharmoniques
  7. Marcel Brelot, Étude comparée des deux types d'effilement
  8. J. L. Doob, Boundary properties of functions with finite Dirichlet integrals
  9. Kohur Gowrisankaran, Extreme harmonic functions and boundary value problems
  10. Linda Lumer-Naïm, ℋ p -spaces of harmonic functions

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