Nonsymmetric Ornstein-Uhlenbeck semigroup as second quantized operator
نویسندگان
چکیده
منابع مشابه
Estimates for the Maximal Operator of the Ornstein-uhlenbeck Semigroup
We show pointwise estimates for the maximal operator of the Ornstein-Uhlenbeck semigroup for functions that are integrable with respect to the Gaussian measure. The estimates are used to prove pointwise convergence. The Ornstein-Uhlenbeck semigroup is defined by Ttf(x)= [ k(t,x,y)f(y)dy, Jr" where ,1. \ -"/2m -2f,-«/2 / \e~'x-y\ \ 4 ^ _ ^ D« k(t, x, y) n (1 -e ) exp -■-Z^L, t > 0, x £ R . This ...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1996
ISSN: 2156-2261
DOI: 10.1215/kjm/1250518505