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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive
Teor. Veroyatnost. i Primenen., 2000 Volume 45, Issue 4, Pages 745–748 (Mi tvp503)
This article is cited in 15 papers

Short Communications

Some generalizations of Prokhorov's results on Khinchin-type inequalities for polynomials

S. G. Bobkovab

a Syktyvkar State University, Faculty of Mathematics
b Department of Mathematics, Bielefeld University, Germany

Abstract: 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.

Received: 24.05.2000

DOI: 10.4213/tvp503


 English version: Theory of Probability and its Applications, 2001, 45:4, 644–647

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