Geodesic
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},
     publisher = {mathdoc},
     volume = {45},
     number = {4},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2000_45_4_a7/}
}
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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/