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Nuclearity in axiomatic potential theory
Author(s):
Bertram
Walsh;
Peter A.
Loeb
Journal:
Bull. Amer. Math. Soc.
72
(1966),
685-689.
MathSciNet review:
0209510
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- H. Bauer, Šilovscher Rand und Dirichletsches Problem, Ann. Inst. Fourier (Grenoble) 11 (1961), 89-136. MR 136983
- 2.
- N. Boboc, C. Constantinescue and A. Cornea, Axiomatic theory of harmonic functions. Non-negative superharmonic functions. Ann. Inst. Fourier (Grenoble) (1) 15 (1965), 283-312. MR 185133
- 3.
- M. Brelot, Lectures on potential theory, Tata Institute of Fundamental Research, Bombay, 1960. MR 118980
- 4.
- C. Constantinescu and A. Cornea, Ideale Ränder Riemannscher Flächen, Ergebnisse der Mathematik, neue Folge, Bd. 32, 1963. MR 159935
- 5.
- A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. No. 16 (1955), 191 + 140 pp. MR 75539
- 6.
- P. A. Loeb, An axiomatic treatment of pairs of elliptic differential equations, Doctoral Dissertation, Stanford Univ., 1963.
- 7.
- P. A. Loeb, An axiomatic treatment of pairs of elliptic differential equations, Ann. Inst. Fourier (Grenoble) (to appear). MR 227455
- 8.
- P. A. Loeb and B. Walsh, The equivalence ofHarnack's principle and Harnack's inequality in the axiomatic system of Brelot, Ann. Inst. Fourier (Grenoble) 15 (1965), 597-600. MR 190360
- 9.
- M. Nakai, Radon-Nikodym densities between harmonic measures on the ideal boundary of an open Riemann surface, Nagoya Math. J. 27 (1965), 71-76. MR 197715
- A. H. S. Bear and A. M. Gleason, An integral formula for abstract harmonic or parabolic functions, Abstract 633-1, Notices Amer. Math. Soc. 13 (1966), 348.
Additional Information:
DOI:
10.1090/S0002-9904-1966-11557-4
PII:
S 0002-9904(1966)11557-4
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