Some generalizations of Prokhorov's results on Khinchin-type inequalities for polynomials
Teoriâ veroâtnostej i ee primeneniâ, Tome 45 (2000) no. 4, pp. 745-748
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In this paper, we prove the Khinchin-type inequality $(\mathbf{E}|f(\xi)|^p)^{1/p}\le C(p,d)\mathbf{E}|f(\xi)|$ for polynomials in components of random vectors in a space with logarithmically concave density.
@article{TVP_2000_45_4_a7,
author = {S. G. Bobkov},
title = {Some generalizations of {Prokhorov's} results on {Khinchin-type} inequalities for polynomials},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {745--748},
year = {2000},
volume = {45},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2000_45_4_a7/}
}
S. G. Bobkov. Some generalizations of Prokhorov's results on Khinchin-type inequalities for polynomials. Teoriâ veroâtnostej i ee primeneniâ, Tome 45 (2000) no. 4, pp. 745-748. http://geodesic.mathdoc.fr/item/TVP_2000_45_4_a7/