Document Zbl 0433.47023

Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup. (English) Zbl 0433.47023

J. Funct. Anal. 32, 102-121 (1979).

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MSC:

47D03	Groups and semigroups of linear operators
47A30	Norms (inequalities, more than one norm, etc.) of linear operators

Keywords:

Hermite semigroup; Gauss-Weierstrass semigroup

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References:

[1]	W. BecknerAnn. of Math.102; W. BecknerAnn. of Math.102 · Zbl 0338.42017
[2]	Brascamp, H. J.; Lieb, E. H., Best constants in Young’s inequality, its converse, and its genralization to more than three functions, Advances in Math., 20, 151-173 (1976) · Zbl 0339.26020
[3]	R. Coifman; R. Coifman
[4]	Gross, L., Logarithmic Sobolev inequalities, Amer. J. Math., 97, 1061-1083 (1975) · Zbl 0318.46049
[5]	Nelson, E., The free Markoff field, J. Functional Analysis, 12, 211-227 (1973) · Zbl 0273.60079
[6]	Rudin, W., Real and Complex Analysis (1966), McGraw-Hill: McGraw-Hill New York · Zbl 0148.02904
[7]	Stein, E. M.; Weiss, G., Introduction to Fourier Analysis on Euclidean Spaces (1971), Princeton Univ. Press: Princeton Univ. Press Princeton, N. J · Zbl 0232.42007
[8]	Weissler, F. B., Logarithmic Sobolev inequalities for the heat-diffusion semi-group, Trans. Amer. Math. Soc., 237, 255-269 (1978) · Zbl 0376.47019

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