A remark on Nelson's best hypercontractive estimates
Author:
Barry Simon
Journal:
Proc. Amer. Math. Soc. 55 (1976), 376-378
MSC:
Primary 81.47
DOI:
https://doi.org/10.1090/S0002-9939-1976-0400995-2
MathSciNet review:
0400995
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Abstract | References | Similar Articles | Additional Information
Abstract: By using a combinatorial estimate we provide a new proof of Nelson's best hypercontractive estimates from to
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- [4] F. Guerra, L. Rosen, and B. Simon, The 𝑃(𝜙)₂ Euclidean quantum field theory as classical statistical mechanics. I, II, Ann. of Math. (2) 101 (1975), 111–189; ibid. (2) 101 (1975), 191–259. MR 0378670, https://doi.org/10.2307/1970988
- [5] Edward Nelson, The free Markoff field, J. Functional Analysis 12 (1973), 211–227. MR 0343816
- [6] Barry Simon, The 𝑃(𝜙)₂ Euclidean (quantum) field theory, Princeton University Press, Princeton, N.J., 1974. Princeton Series in Physics. MR 0489552
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1976-0400995-2
Keywords:
Hypercontractive
Article copyright:
© Copyright 1976
American Mathematical Society