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Distribution of the norm of a Gaussian vector in a Banach space

✍ Scribed by D. Pap

Publisher: Springer
Year: 1984
Tongue: English
Weight: 241 KB
Volume: 24
Category: Article
ISSN: 0363-1672
DOI: 10.1007/bf00970335

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We show that if a Banach space E has a norm [I'll such that the modulus of uniform convexity is bounded below by a power function, then for each Gaussian measure # on E the distribition of the norm for # has a bounded density with respect to Lebesgue measure. This result is optimum in the following