We discuss a conjecture about comparability of weak and strong moments of log-concave random vectors and show the conjectured inequality for unconditional vectors in normed spaces with a bounded cotype constant.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc95-0-8,
author = {Rafa\l\ Lata\l a},
title = {Weak and strong moments of random vectors},
journal = {Banach Center Publications},
volume = {95},
year = {2011},
pages = {115-121},
zbl = {1236.60021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc95-0-8}
}
Rafał Latała. Weak and strong moments of random vectors. Banach Center Publications, Tome 95 (2011) pp. 115-121. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc95-0-8/