Boundary properties of functions with finite Dirichlet integrals

J. L. Doob

Annales de l'institut Fourier (1962)

  • Volume: 12, page 573-621
  • ISSN: 0373-0956

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Doob, J. L.. "Boundary properties of functions with finite Dirichlet integrals." Annales de l'institut Fourier 12 (1962): 573-621. <http://eudml.org/doc/73790>.

@article{Doob1962,
author = {Doob, J. L.},
journal = {Annales de l'institut Fourier},
keywords = {partial differential equations},
language = {eng},
pages = {573-621},
publisher = {Association des Annales de l'Institut Fourier},
title = {Boundary properties of functions with finite Dirichlet integrals},
url = {http://eudml.org/doc/73790},
volume = {12},
year = {1962},
}

TY - JOUR
AU - Doob, J. L.
TI - Boundary properties of functions with finite Dirichlet integrals
JO - Annales de l'institut Fourier
PY - 1962
PB - Association des Annales de l'Institut Fourier
VL - 12
SP - 573
EP - 621
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/73790
ER -

References

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  1. [1] Lars V. AHLFORS et H. L. ROYDEN, A counterexample in the classification of open Riemann surfaces. Ann. Acad. Sci. Fennicae. Sr. A. I., Math. Phys., n° 120 (1952). Zbl0048.05905
  2. [2] N. ARONSZAJN, Boundary values of functions with finite Dirichlet integral. (Conference on partial differential equations, U. of Kansas (1954). Studies in eigenvalue problems. Technical report, 14. Zbl0068.08201
  3. [3] M. BRELOT, Étude et extensions du principe de Dirichlet. Annales Inst. Fourier, 5 (1953-1954), 371-419. Zbl0067.33002MR17,603f
  4. [4] M. BRELOT, et G. CHOQUET, Espaces et lignes de Green. Annales Inst. Fourier, 3 (1951), 119-263. Zbl0046.32701MR16,34e
  5. [5] J. DENY, Les potentiels d'énergie finie. Acta math., 82 (1950), 107-183. Zbl0034.36201MR12,98e
  6. [6] J. DENY et J. L. LIONS, Les espaces du type de Beppo Levi. Annales Inst. Fourier, 5 (1953-1954), 305-370. Zbl0065.09903MR17,646a
  7. [7] J. L. DOOB, Conditional Brownian motion and the boundary limits of harmonic functions. Bull. Soc. Math. France, 85 (1957), 431-458. Zbl0097.34004MR22 #844
  8. [8] J. L. DOOB, A non-probabilistic proof of the relative Fatou theorem. Annales Inst. Fourier, 9 (1959), 293-300. Zbl0095.08203MR22 #8233
  9. [9] J. DOUGLAS, Solution of the problem of Plateau. Trans. Amer. Math. Soc., 33 (1931), 263-321. Zbl0001.14102MR1501590JFM57.1542.03
  10. [10] M. GODEFROID, Une propriété des fonctions B.L.D. dans un espace de Green. Annales Inst. Fourier, 9 (1959), 301-304. Zbl0095.08204MR22 #2806
  11. [11] Linda NAÏM, Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel. Annales Inst. Fourier, 7 (1957), 183-281. Zbl0086.30603MR20 #6608
  12. [12] Jan ODHNOFF. Operators generated by differential problems with eigenvalue parameter in equation and boundary condition. Medd. Lunds Univ. Mat. Sem. 14 (1959). Zbl0138.36103MR22 #136
  13. [13] Howard OSBORN, The Dirichlet functional. 1. J. Math. Analysis and Applications, 1 (1960), 61-112. Zbl0099.08103MR24 #A3304
  14. [14] S. L. SOBOLEV, Some applications of functional analysis in mathematical physics (Russian), Leningrad, 1950. 

Citations in EuDML Documents

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  1. Paul-André Meyer, Wei-An Zheng, Construction de processus de Nelson réversibles
  2. Yves Le Jan, Martingales et changement de temps
  3. Marcel Brelot, Quelques propriétés et applications nouvelles de l'effilement
  4. Yves Lejan, Mesures associées à une forme de Dirichlet. Applications
  5. Marcel Brelot, Intégrabilité uniforme quelques applications à la théorie du potentiel
  6. Tosiaki Kori, La théorie des espaces fonctionnels à nullité 1 et le problème de Neumann sur les espaces harmoniques
  7. Ivan Netuka, Generalized Robin problem in potential theory
  8. Linda Lumer-Naïm, p -spaces of harmonic functions

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