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The equivalence of Harnack’s principle and Harnack’s inequality in the axiomatic system of Brelot. (English) Zbl 0132.33802

Full Text: DOI Numdam EuDML
[1] M. BRELOT, Axiomatique des fonctions harmoniques, Séminaire de Mathématiques Supérieures (Été 1965), University of Montreal. · Zbl 0148.10401
[2] M. BRELOT, Lectures on potential theory, Tata Institute of Fundamental Research, Bombay (1960). · Zbl 0098.06903
[3] C. CONSTANTINESCU and A. CORNEA, On the axiomatic of harmonic functions I, Ann. Inst. Fourier, 13/2 (1963), 373-378. · Zbl 0122.34001
[4] N. DUNFORD and J. SCHWARTZ, Linear operators, part I, general theory, Interscience Publishers, Inc., New York, (1958). · Zbl 0084.10402
[5] R.-M. HERVÉ, Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel, Ann. Inst. Fourier, Grenoble, 12 (1962) 415-571. · Zbl 0101.08103
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