Nuclearity in axiomatic potential theory
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- by Bertram Walsh and Peter A. Loeb PDF
- Bull. Amer. Math. Soc. 72 (1966), 685-689
References
- Heinz Bauer, Šilovscher Rand und Dirichletsches Problem, Ann. Inst. Fourier (Grenoble) 11 (1961), 89–136, XIV (German, with French summary). MR 136983
- N. Boboc, C. Constantinescu, and A. Cornea, Axiomatic theory of harmonic functions. Non-negative superharmonic functions, Ann. Inst. Fourier (Grenoble) 15 (1965), no. fasc. 1, 283–312. MR 185133
- M. Brelot, Lectures on potential theory, Lectures on Mathematics, vol. 19, Tata Institute of Fundamental Research, Bombay, 1960. Notes by K. N. Gowrisankaran and M. K. Venkatesha Murthy. MR 0118980
- Corneliu Constantinescu and Aurel Cornea, Ideale Ränder Riemannscher Flächen, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 32, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963 (German). MR 0159935
- Alexandre Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16 (1955), Chapter 1: 196 pp.; Chapter 2: 140 (French). MR 75539 6. P. A. Loeb, An axiomatic treatment of pairs of elliptic differential equations, Doctoral Dissertation, Stanford Univ., 1963.
- Peter A. Loeb, An exiomatic treatment of pairs of elliptic differential equations, Ann. Inst. Fourier (Grenoble) 16 (1966), no. fasc. 2, 167–208 (English, with French summary). MR 227455
- Peter A. Loeb and Bertram Walsh, The equivalence of Harnack’s principle and Harnack’s inequality in the axiomatic system of Brelot, Ann. Inst. Fourier (Grenoble) 15 (1965), no. fasc. 2, 597–600. MR 190360
- Mitsuru Nakai, Radon-Nikodým densities between harmonic measures on the ideal boundary of an open Riemann surface, Nagoya Math. J. 27 (1966), 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
- Journal: Bull. Amer. Math. Soc. 72 (1966), 685-689
- DOI: https://doi.org/10.1090/S0002-9904-1966-11557-4
- MathSciNet review: 0209510