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arXiv · 1011.5437

On $L^p$-contractivity of Laguerre semigroups

Adam Nowak·Krzysztof Stempak
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Abstract

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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Adam Nowak, Krzysztof Stempak. 2010-11-24. On $L^p$-contractivity of Laguerre semigroups. https://arxiv.org/abs/1011.5437

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