On the Maximal Function for the Generalized Ornstein-uhlenbeck Semigroup.
نویسندگان
چکیده
منابع مشابه
On the Maximal Function for the Generalized Ornstein-uhlenbeck Semigroup
In this note we consider the maximal function for the generalized Ornstein-Uhlenbeck semigroup in R associated with the generalized Hermite polynomials {Hμ n} and prove that it is weak type (1,1) with respect to dλμ(x) = |x|2μe−|x| 2 dx, for μ > −1/2 as well as bounded on L(dλμ) for p > 1.
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ژورنال
عنوان ژورنال: Quaestiones Mathematicae
سال: 2007
ISSN: 1607-3606,1727-933X
DOI: 10.2989/16073600709486214