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Article overview
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Functional Inequalities for Convolution Probability Measures | Feng-Yu Wang
; Jian Wang
; | Date: |
8 Aug 2013 | Abstract: | Let $mu$ and $
u$ be two probability measures on $R^d$, where $mu(d x)=
e^{-V(x)}d x$ for some $Vin C^1(R^d)$. Explicit sufficient conditions on
$V$ and $
u$ are presented such that $mu*
u$ satisfies the log-Sobolev,
Poincar’e and super Poincar’e inequalities. In particular, the recent results
on the log-Sobolev inequality derived in cite{Z} for convolutions of the
Gaussian measure and compactly supported probability measures are improved and
extended. | Source: | arXiv, 1308.1713 | Services: | Forum | Review | PDF | Favorites |
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