arXiv 1011.54372010-11-24math.CA

On $L^p$-contractivity of Laguerre semigroups

Adam Nowak, Krzysztof Stempak

备注：: 16 pages
发表信息：: Illinois J. Math. 56 (2012), 433-452

英文摘要：

We study several Laguerre semigroups appearing in the literature and find sharp ranges of type parameters for which these semigroups are contractive on all $L^p$ spaces, $1\le p \le \infty$. We also answer a similar question for Bessel semigroups, which in a sense are closely related to the Laguerre semigroups.

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