منابع مشابه
Kahane-Khinchin type Averages
We prove a Kahane-Khinchin type result with a few random vectors, which are distributed independently with respect to an arbitrary log-concave probability measure on Rn. This is an application of small ball estimate and Chernoff’s method, that has been recently used in the context of Asymptotic Geometric Analysis in [1], [2].
متن کاملINEQUALITIES OF THE KAHANE-KHINCHIN TYPE AND SECTIONS OF Lp-BALLS
We extend Kahane-Khinchin type inequalities to the case p > −2. As an application we verify the slicing problem for the unit balls of finite-dimensional spaces that embed in Lp, p > −2.
متن کاملThe Khinchin–kahane Inequality and Banach Space Embeddings for Metric Groups
We extend the Khinchin–Kahane inequality to an arbitrary abelian metric group G . In the special case where G is normed, we prove a refinement which is sharp and which extends the sharp version for Banach spaces. We also provide an alternate proof for normed metric groups as a consequence of a general “transfer principle”. This transfer principle has immediate applications to stochastic inequal...
متن کاملMaximal Inequalities of Kahane-Khintchine’s Type in Orlicz Spaces
Several maximal inequalities of Kahane-Khintchine’s type in certain Orlicz spaces are proved. The method relies upon Lévy’s inequality and the technique established in [14] which is obtained by Haagerup-Young-Stechkin’s best possible constants in the classical Khintchine inequalities. Moreover by using Donsker’s invariance principle it is shown that the numerical constant in the inequality dedu...
متن کاملKhinchin theorem and anomalous diffusion.
A recent Letter [M. H. Lee, Phys. Rev. Lett. 98, 190601 (2007)] has called attention to the fact that irreversibility is a broader concept than ergodicity, and that therefore the Khinchin theorem [A. I. Khinchin, (Dover, New York, 1949)] may fail in some systems. In this Letter we show that for all ranges of normal and anomalous diffusion described by a generalized Langevin equation the Khinchi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2008
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-08-09369-6